Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950bl |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
-3191229125000 = -1 · 23 · 56 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 4 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2895517,1897156141] |
[a1,a2,a3,a4,a6] |
Generators |
[975:-71:1] |
Generators of the group modulo torsion |
j |
-1460474194254993/1736 |
j-invariant |
L |
3.1677447637412 |
L(r)(E,1)/r! |
Ω |
0.50577830019433 |
Real period |
R |
1.5657773202924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3038m1 10850m1 |
Quadratic twists by: 5 -7 |