Atkin-Lehner |
2- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
72512t |
Isogeny class |
Conductor |
72512 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
856320 |
Modular degree for the optimal curve |
Δ |
-16714320861331456 = -1 · 217 · 11 · 1035 |
Discriminant |
Eigenvalues |
2- 2 -2 -3 11+ -5 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-734049,242391809] |
[a1,a2,a3,a4,a6] |
j |
-333725606927408306/127520148173 |
j-invariant |
L |
0.76721899863172 |
L(r)(E,1)/r! |
Ω |
0.38360951051352 |
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 |
72512n1 18128b1 |
Quadratic twists by: -4 8 |