Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400bz |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
19454531250000 = 24 · 3 · 510 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1037783,406573188] |
[a1,a2,a3,a4,a6] |
Generators |
[1293708:93588:2197] |
Generators of the group modulo torsion |
j |
494428821070157824/77818125 |
j-invariant |
L |
7.9690622713386 |
L(r)(E,1)/r! |
Ω |
0.53736419570187 |
Real period |
R |
7.4149546424823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46200h1 18480f1 |
Quadratic twists by: -4 5 |