Atkin-Lehner |
3- 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
101175r |
Isogeny class |
Conductor |
101175 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-65689449609375 = -1 · 38 · 58 · 192 · 71 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 0 4 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9974,-70177] |
[a1,a2,a3,a4,a6] |
j |
7023836099951/4204124775 |
j-invariant |
L |
5.7796419732337 |
L(r)(E,1)/r! |
Ω |
0.36122762296285 |
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 |
20235f1 |
Quadratic twists by: 5 |