Atkin-Lehner |
2- 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
35350p |
Isogeny class |
Conductor |
35350 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-34643000000 = -1 · 26 · 56 · 73 · 101 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -2 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8113,278031] |
[a1,a2,a3,a4,a6] |
Generators |
[65:-208:1] |
Generators of the group modulo torsion |
j |
-3779648905033/2217152 |
j-invariant |
L |
6.7160237973391 |
L(r)(E,1)/r! |
Ω |
1.1487912591084 |
Real period |
R |
0.1623934854253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1414a1 |
Quadratic twists by: 5 |