Atkin-Lehner |
2+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116032p |
Isogeny class |
Conductor |
116032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-3620476550053888 = -1 · 216 · 79 · 372 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- -4 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3071,2893185] |
[a1,a2,a3,a4,a6] |
Generators |
[4527:304584:1] |
Generators of the group modulo torsion |
j |
415292/469567 |
j-invariant |
L |
7.0308954541435 |
L(r)(E,1)/r! |
Ω |
0.34690059390838 |
Real period |
R |
2.5334690877315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006661 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116032bu1 14504f1 16576f1 |
Quadratic twists by: -4 8 -7 |