Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950x |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-9417800000000000 = -1 · 212 · 511 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 4 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1383751,626421898] |
[a1,a2,a3,a4,a6] |
Generators |
[167:19916:1] |
Generators of the group modulo torsion |
j |
-382719859146912049/12300800000 |
j-invariant |
L |
5.7366813080945 |
L(r)(E,1)/r! |
Ω |
0.38222878325885 |
Real period |
R |
0.93803135012465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15190bj1 75950d1 |
Quadratic twists by: 5 -7 |