Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
74480ba |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-91354995144313600 = -1 · 28 · 52 · 78 · 195 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -3 4 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,58539,13501039] |
[a1,a2,a3,a4,a6] |
Generators |
[114:4655:1] |
Generators of the group modulo torsion |
j |
15032385536/61902475 |
j-invariant |
L |
4.2436807668957 |
L(r)(E,1)/r! |
Ω |
0.24201820111156 |
Real period |
R |
0.29224253580489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968634 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18620a1 74480cn1 |
Quadratic twists by: -4 -7 |