Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576cf |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6289920 |
Modular degree for the optimal curve |
Δ |
5.9218653172748E+24 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46053352,-27595510928] |
[a1,a2,a3,a4,a6] |
j |
65352943209688399/35827476332544 |
j-invariant |
L |
3.3443919303559 |
L(r)(E,1)/r! |
Ω |
0.061933183895549 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3822q1 122304hm1 91728fw1 30576cp1 |
Quadratic twists by: -4 8 -3 -7 |