Atkin-Lehner |
2+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344l |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-29016064 = -1 · 214 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ -2 -1 7+ 11+ -6 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21,-269] |
[a1,a2,a3,a4,a6] |
j |
-65536/1771 |
j-invariant |
L |
0.91002669641387 |
L(r)(E,1)/r! |
Ω |
0.91002602147451 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344eg1 7084e1 |
Quadratic twists by: -4 8 |