Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
9324b |
Isogeny class |
Conductor |
9324 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-594352634029652736 = -1 · 28 · 314 · 7 · 375 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 3 -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-129072,-41162812] |
[a1,a2,a3,a4,a6] |
Generators |
[1813:75393:1] |
Generators of the group modulo torsion |
j |
-1274243237085184/3184759913139 |
j-invariant |
L |
4.5981506533024 |
L(r)(E,1)/r! |
Ω |
0.11730753559713 |
Real period |
R |
6.5329003658295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37296ce1 3108a1 65268h1 |
Quadratic twists by: -4 -3 -7 |