Atkin-Lehner |
2+ 3+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
88806g |
Isogeny class |
Conductor |
88806 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-86976840794112 = -1 · 216 · 37 · 192 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -5 0 1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11939,-678387] |
[a1,a2,a3,a4,a6] |
Generators |
[1174:39477:1] |
Generators of the group modulo torsion |
j |
-521407415274193/240933076992 |
j-invariant |
L |
3.8880932827506 |
L(r)(E,1)/r! |
Ω |
0.22339497254456 |
Real period |
R |
4.3511423402165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999697284 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88806r1 |
Quadratic twists by: -19 |