Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280dd |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
1.7913980449739E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4017363,3092575122] |
[a1,a2,a3,a4,a6] |
Generators |
[9954:36015:8] |
Generators of the group modulo torsion |
j |
551105805571803/1376829440 |
j-invariant |
L |
5.1072483588877 |
L(r)(E,1)/r! |
Ω |
0.21893905568435 |
Real period |
R |
2.9159075472647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4410b1 35280dp1 5040bb1 |
Quadratic twists by: -4 -3 -7 |