Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920cq |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
100332933120 = 212 · 33 · 5 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1347,11394] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:168:1] |
Generators of the group modulo torsion |
j |
2444008923/907235 |
j-invariant |
L |
7.1791113007397 |
L(r)(E,1)/r! |
Ω |
0.97214507855785 |
Real period |
R |
0.61540122628681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7245e1 115920cf1 |
Quadratic twists by: -4 -3 |