Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
8880bb |
Isogeny class |
Conductor |
8880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-818380800 = -1 · 215 · 33 · 52 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -1 1 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13840,622100] |
[a1,a2,a3,a4,a6] |
Generators |
[50:240:1] |
Generators of the group modulo torsion |
j |
-71581931663761/199800 |
j-invariant |
L |
5.0927684236471 |
L(r)(E,1)/r! |
Ω |
1.379839309572 |
Real period |
R |
0.15378506964297 |
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 |
1110l1 35520br1 26640bi1 44400y1 |
Quadratic twists by: -4 8 -3 5 |