Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440l |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
2258036315808000 = 28 · 3 · 53 · 77 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53916,-4223820] |
[a1,a2,a3,a4,a6] |
Generators |
[649:15288:1] |
Generators of the group modulo torsion |
j |
575514878416/74972625 |
j-invariant |
L |
5.8209184989749 |
L(r)(E,1)/r! |
Ω |
0.31599828748302 |
Real period |
R |
2.3025909990318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986807 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10920i1 |
Quadratic twists by: -7 |