Atkin-Lehner |
2- 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
94380q |
Isogeny class |
Conductor |
94380 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-31802284800 = -1 · 28 · 35 · 52 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,499,7599] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:30:1] [-3:78:1] |
Generators of the group modulo torsion |
j |
442720256/1026675 |
j-invariant |
L |
11.861732655062 |
L(r)(E,1)/r! |
Ω |
0.81482952536602 |
Real period |
R |
0.24262196950241 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94380u1 |
Quadratic twists by: -11 |