Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950v |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-735765625000 = -1 · 23 · 59 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -5 1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5042,145116] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:388:1] |
Generators of the group modulo torsion |
j |
-18516742209/961000 |
j-invariant |
L |
3.3505902731097 |
L(r)(E,1)/r! |
Ω |
0.89032460708401 |
Real period |
R |
0.94083389572874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15190bh1 75950a1 |
Quadratic twists by: 5 -7 |