Atkin-Lehner |
2+ 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
127800a |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
299531250000 = 24 · 33 · 510 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -1 -6 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3750,-84375] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:63:1] |
Generators of the group modulo torsion |
j |
1382400/71 |
j-invariant |
L |
6.5934482283984 |
L(r)(E,1)/r! |
Ω |
0.6120343910279 |
Real period |
R |
2.6932507245425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999394479 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127800be1 127800bg1 |
Quadratic twists by: -3 5 |