Atkin-Lehner |
2- 7- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
75152l |
Isogeny class |
Conductor |
75152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
2307497251569664 = 225 · 7 · 115 · 61 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 11+ 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54832,-4350016] |
[a1,a2,a3,a4,a6] |
Generators |
[328:3584:1] |
Generators of the group modulo torsion |
j |
4451167587191473/563353821184 |
j-invariant |
L |
3.1344480395804 |
L(r)(E,1)/r! |
Ω |
0.31458625908224 |
Real period |
R |
2.4909289179881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9394j1 |
Quadratic twists by: -4 |