Atkin-Lehner |
2+ 3- 7+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
107226h |
Isogeny class |
Conductor |
107226 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-1668872793111552 = -1 · 210 · 38 · 73 · 232 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-81117,-9086715] |
[a1,a2,a3,a4,a6] |
Generators |
[486530:30023631:125] |
Generators of the group modulo torsion |
j |
-80971994494140625/2289263090688 |
j-invariant |
L |
4.6466706145206 |
L(r)(E,1)/r! |
Ω |
0.14121065543237 |
Real period |
R |
8.2264872024603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033269 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35742m1 |
Quadratic twists by: -3 |