Atkin-Lehner |
2- 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920fi |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-7165276418764800 = -1 · 212 · 36 · 52 · 73 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,333,4072626] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:1610:1] [-78:1890:1] |
Generators of the group modulo torsion |
j |
1367631/2399636575 |
j-invariant |
L |
12.551112340068 |
L(r)(E,1)/r! |
Ω |
0.33242849468194 |
Real period |
R |
0.78657970464677 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999970037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7245n1 12880q1 |
Quadratic twists by: -4 -3 |