Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576v |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
989901742991616 = 28 · 34 · 710 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31572,-1550340] |
[a1,a2,a3,a4,a6] |
Generators |
[-582:4845:8] |
Generators of the group modulo torsion |
j |
115562131792/32867289 |
j-invariant |
L |
8.2214695154789 |
L(r)(E,1)/r! |
Ω |
0.36589932509357 |
Real period |
R |
5.6173030063505 |
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 |
15288u2 122304gh2 91728ba2 4368d2 |
Quadratic twists by: -4 8 -3 -7 |