Atkin-Lehner |
2+ 3+ 7+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
25662c |
Isogeny class |
Conductor |
25662 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-8136690533107089408 = -1 · 214 · 312 · 76 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10668506,13408566036] |
[a1,a2,a3,a4,a6] |
j |
-134287192149454417894480297/8136690533107089408 |
j-invariant |
L |
0.88381440140507 |
L(r)(E,1)/r! |
Ω |
0.22095360035124 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76986bd1 |
Quadratic twists by: -3 |