Atkin-Lehner |
2- 3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550da |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7368054257812500 = 22 · 39 · 510 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-62999480,192481544647] |
[a1,a2,a3,a4,a6] |
Generators |
[-7655:479351:1] |
Generators of the group modulo torsion |
j |
89913164203999309347/23957500 |
j-invariant |
L |
11.119556949349 |
L(r)(E,1)/r! |
Ω |
0.24693791487505 |
Real period |
R |
5.6287209514623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116550g2 23310d2 |
Quadratic twists by: -3 5 |