Atkin-Lehner |
2- 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
35868a |
Isogeny class |
Conductor |
35868 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-5001964192512 = -1 · 28 · 37 · 74 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 4 -3 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-94733,-11191767] |
[a1,a2,a3,a4,a6] |
Generators |
[24036:157563:64] |
Generators of the group modulo torsion |
j |
-152967808000000/8137827 |
j-invariant |
L |
4.682047046204 |
L(r)(E,1)/r! |
Ω |
0.13606375998631 |
Real period |
R |
5.7351139968932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107604i1 35868f1 |
Quadratic twists by: -3 -7 |