Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31200bu |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3427320000000 = -1 · 29 · 3 · 57 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2592,-72312] |
[a1,a2,a3,a4,a6] |
Generators |
[265503:1504250:9261] |
Generators of the group modulo torsion |
j |
240641848/428415 |
j-invariant |
L |
7.2483057709106 |
L(r)(E,1)/r! |
Ω |
0.41563502463553 |
Real period |
R |
8.7195560302773 |
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 |
31200be2 62400eq3 93600w2 6240c4 |
Quadratic twists by: -4 8 -3 5 |