Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74480ci |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-18646594722560 = -1 · 28 · 5 · 79 · 192 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -3 3 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6925,-301615] |
[a1,a2,a3,a4,a6] |
j |
-1219600384/619115 |
j-invariant |
L |
2.0443162834817 |
L(r)(E,1)/r! |
Ω |
0.25553953724668 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18620n1 10640n1 |
Quadratic twists by: -4 -7 |