Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4680t |
Isogeny class |
Conductor |
4680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2299226342400 = 210 · 312 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3747,-49714] |
[a1,a2,a3,a4,a6] |
Generators |
[107:880:1] |
Generators of the group modulo torsion |
j |
7793764996/3080025 |
j-invariant |
L |
3.9000713870072 |
L(r)(E,1)/r! |
Ω |
0.63127132026553 |
Real period |
R |
3.0890611230102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9360t2 37440bd2 1560a2 23400g2 |
Quadratic twists by: -4 8 -3 5 |