Atkin-Lehner |
2- 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
7770be |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7376206853234100 = -1 · 22 · 3 · 52 · 7 · 378 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27845,-4504875] |
[a1,a2,a3,a4,a6] |
j |
-2387626297546326481/7376206853234100 |
j-invariant |
L |
5.459173066085 |
L(r)(E,1)/r! |
Ω |
0.17059915831516 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62160bt5 23310p5 38850c5 54390bq5 |
Quadratic twists by: -4 -3 5 -7 |