Atkin-Lehner |
2- 3+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
102336bs |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-163902667968 = -1 · 26 · 37 · 134 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -1 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1087,-14121] |
[a1,a2,a3,a4,a6] |
Generators |
[90:897:1] |
Generators of the group modulo torsion |
j |
2217342464000/2560979187 |
j-invariant |
L |
6.0770690426957 |
L(r)(E,1)/r! |
Ω |
0.54947122109305 |
Real period |
R |
2.7649623902746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987715 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336be1 25584t1 |
Quadratic twists by: -4 8 |