Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14800b |
Isogeny class |
Conductor |
14800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
148000000 = 28 · 56 · 37 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 3 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,-8963] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:25:8] |
Generators of the group modulo torsion |
j |
16000000/37 |
j-invariant |
L |
3.2619665214291 |
L(r)(E,1)/r! |
Ω |
0.88870006708356 |
Real period |
R |
1.8352460195788 |
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 |
7400a1 59200cs1 592b1 |
Quadratic twists by: -4 8 5 |