Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
2960h |
Isogeny class |
Conductor |
2960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
6934395700000000 = 28 · 58 · 375 |
Discriminant |
Eigenvalues |
2- -3 5+ 3 -5 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-219448,-39364772] |
[a1,a2,a3,a4,a6] |
j |
4565397831743545344/27087483203125 |
j-invariant |
L |
0.88263639001746 |
L(r)(E,1)/r! |
Ω |
0.22065909750437 |
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 |
740a1 11840bp1 26640bs1 14800ba1 |
Quadratic twists by: -4 8 -3 5 |