Atkin-Lehner |
2- 3- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
70488h |
Isogeny class |
Conductor |
70488 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2227200 |
Modular degree for the optimal curve |
Δ |
-8356756355583001344 = -1 · 28 · 312 · 11 · 895 |
Discriminant |
Eigenvalues |
2- 3- 3 0 11+ 7 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2017236,1111501748] |
[a1,a2,a3,a4,a6] |
j |
-4864367169565416448/44778572721531 |
j-invariant |
L |
4.6760009215347 |
L(r)(E,1)/r! |
Ω |
0.23380004554194 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23496a1 |
Quadratic twists by: -3 |