Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600de |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-630000000000 = -1 · 210 · 32 · 510 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 5 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30833,-2094537] |
[a1,a2,a3,a4,a6] |
Generators |
[8119550779234:555546582623649:1732323601] |
Generators of the group modulo torsion |
j |
-324179200/63 |
j-invariant |
L |
7.9645331650866 |
L(r)(E,1)/r! |
Ω |
0.18013967553525 |
Real period |
R |
22.106549102582 |
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 |
33600et1 4200f1 100800ga1 33600bt1 |
Quadratic twists by: -4 8 -3 5 |