Atkin-Lehner |
2+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950bq |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
175616 |
Modular degree for the optimal curve |
Δ |
312740454250 = 2 · 53 · 79 · 31 |
Discriminant |
Eigenvalues |
2+ 3 5- 7- -5 -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1822,13586] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:4376:27] |
Generators of the group modulo torsion |
j |
132651/62 |
j-invariant |
L |
8.1415257538943 |
L(r)(E,1)/r! |
Ω |
0.86463226628283 |
Real period |
R |
2.3540428895728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996818 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75950dh1 75950bv1 |
Quadratic twists by: 5 -7 |