Atkin-Lehner |
2- 5- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
71300l |
Isogeny class |
Conductor |
71300 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
300960 |
Modular degree for the optimal curve |
Δ |
989652099680000 = 28 · 54 · 235 · 312 |
Discriminant |
Eigenvalues |
2- 0 5- -3 1 -1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-211175,37321150] |
[a1,a2,a3,a4,a6] |
Generators |
[255:230:1] [-185:8370:1] |
Generators of the group modulo torsion |
j |
6509254290728400/6185325623 |
j-invariant |
L |
9.4489871508472 |
L(r)(E,1)/r! |
Ω |
0.4915076527611 |
Real period |
R |
0.21360551667952 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71300a1 |
Quadratic twists by: 5 |