Atkin-Lehner |
3+ 5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
7395b |
Isogeny class |
Conductor |
7395 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-670171875 = -1 · 3 · 56 · 17 · 292 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 -4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,197,-572] |
[a1,a2,a3,a4,a6] |
Generators |
[54:241:8] |
Generators of the group modulo torsion |
j |
838828609991/670171875 |
j-invariant |
L |
3.8268790836693 |
L(r)(E,1)/r! |
Ω |
0.89669010579348 |
Real period |
R |
4.2677833277561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118320ck2 22185n2 36975ba2 125715bb2 |
Quadratic twists by: -4 -3 5 17 |