Atkin-Lehner |
3- 5- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
50985h |
Isogeny class |
Conductor |
50985 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-8711265234375 = -1 · 39 · 58 · 11 · 103 |
Discriminant |
Eigenvalues |
1 3- 5- -4 11+ -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3861,106920] |
[a1,a2,a3,a4,a6] |
Generators |
[36:522:1] |
Generators of the group modulo torsion |
j |
8730363285071/11949609375 |
j-invariant |
L |
4.9203857126148 |
L(r)(E,1)/r! |
Ω |
0.49497117883745 |
Real period |
R |
1.2425939941097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999354 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16995f1 |
Quadratic twists by: -3 |