Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840by |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
994964705280 = 212 · 35 · 5 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3736,72404] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:312:1] |
Generators of the group modulo torsion |
j |
1408317602329/242911305 |
j-invariant |
L |
6.4647496122824 |
L(r)(E,1)/r! |
Ω |
0.83777684874161 |
Real period |
R |
0.38582765935779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1365a1 87360fi1 65520ek1 109200ct1 |
Quadratic twists by: -4 8 -3 5 |