Atkin-Lehner |
2+ 3+ 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49770a |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
60954314400000 = 28 · 39 · 55 · 72 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-139875,-20096875] |
[a1,a2,a3,a4,a6] |
Generators |
[-158778:96821:729] |
Generators of the group modulo torsion |
j |
15376392798156963/3096800000 |
j-invariant |
L |
3.4636808192043 |
L(r)(E,1)/r! |
Ω |
0.24687074800096 |
Real period |
R |
7.0151705846779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49770be1 |
Quadratic twists by: -3 |