Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304hv |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
56381165568 = 212 · 32 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3593,80919] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:405:1] |
Generators of the group modulo torsion |
j |
10648000/117 |
j-invariant |
L |
8.6614281647427 |
L(r)(E,1)/r! |
Ω |
1.1205658934825 |
Real period |
R |
3.8647562608457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304fv2 61152bc1 2496q2 |
Quadratic twists by: -4 8 -7 |