Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950w |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-47468750 = -1 · 2 · 56 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 4 -1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-376,-2852] |
[a1,a2,a3,a4,a6] |
Generators |
[902:26636:1] |
Generators of the group modulo torsion |
j |
-7649089/62 |
j-invariant |
L |
5.645069990205 |
L(r)(E,1)/r! |
Ω |
0.5420020309839 |
Real period |
R |
5.2076096299438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3038j1 75950c1 |
Quadratic twists by: 5 -7 |