Atkin-Lehner |
3- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73515l |
Isogeny class |
Conductor |
73515 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5211648 |
Modular degree for the optimal curve |
Δ |
-6.5320195112498E+21 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 0 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11327229,-15180927773] |
[a1,a2,a3,a4,a6] |
Generators |
[259670966190295911948964352809577604136923672908167305337439788776145088818024917:34149381769402309669508373684586251119799975868537804175066885829003914923675965733:14347526984746267320060736226155615294689574672904389810188071060998396168617] |
Generators of the group modulo torsion |
j |
-15156695586520333/615966796875 |
j-invariant |
L |
10.01462415474 |
L(r)(E,1)/r! |
Ω |
0.041049313356614 |
Real period |
R |
121.98284618964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73515p1 |
Quadratic twists by: 13 |