Atkin-Lehner |
2- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
72512r |
Isogeny class |
Conductor |
72512 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
247296 |
Modular degree for the optimal curve |
Δ |
-3387218282725376 = -1 · 214 · 117 · 1032 |
Discriminant |
Eigenvalues |
2- -1 -3 0 11+ 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,35723,1030829] |
[a1,a2,a3,a4,a6] |
j |
307705590161408/206739397139 |
j-invariant |
L |
0.5609246088632 |
L(r)(E,1)/r! |
Ω |
0.28046230526069 |
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 |
72512k1 18128d1 |
Quadratic twists by: -4 8 |