Atkin-Lehner |
2+ 3+ 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
18690a |
Isogeny class |
Conductor |
18690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-198698062500 = -1 · 22 · 36 · 56 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 6 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1407,7497] |
[a1,a2,a3,a4,a6] |
Generators |
[26:237:1] |
Generators of the group modulo torsion |
j |
307697255753831/198698062500 |
j-invariant |
L |
3.1628307673745 |
L(r)(E,1)/r! |
Ω |
0.62704782421274 |
Real period |
R |
1.2610006148038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56070bc2 93450cq2 |
Quadratic twists by: -3 5 |