Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576bc |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-3.7525195273326E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 3 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4668344,-3895057020] |
[a1,a2,a3,a4,a6] |
j |
-38898423529252/129730653 |
j-invariant |
L |
3.0806571408291 |
L(r)(E,1)/r! |
Ω |
0.051344285680474 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15288g1 122304fg1 91728bm1 30576a1 |
Quadratic twists by: -4 8 -3 -7 |