Atkin-Lehner |
2- 3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
37488v |
Isogeny class |
Conductor |
37488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
28790784 = 212 · 32 · 11 · 71 |
Discriminant |
Eigenvalues |
2- 3- 1 3 11+ -5 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85,131] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:9:1] |
Generators of the group modulo torsion |
j |
16777216/7029 |
j-invariant |
L |
8.0898618904562 |
L(r)(E,1)/r! |
Ω |
1.8980679954566 |
Real period |
R |
2.131077998739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2343d1 112464bl1 |
Quadratic twists by: -4 -3 |