Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576p |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42577920 |
Modular degree for the optimal curve |
Δ |
-4.1137203739473E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -6 13- 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5433095369,154146231414981] |
[a1,a2,a3,a4,a6] |
Generators |
[1583892463609390226121580:452083768979522057845935489:13571724430993835231] |
Generators of the group modulo torsion |
j |
-588894491652244161881463808/13658611812026920011 |
j-invariant |
L |
5.710767125355 |
L(r)(E,1)/r! |
Ω |
0.049199581914706 |
Real period |
R |
29.018372225476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15288s1 122304hs1 91728ca1 4368h1 |
Quadratic twists by: -4 8 -3 -7 |