Atkin-Lehner |
5- 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
120785l |
Isogeny class |
Conductor |
120785 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3354624 |
Modular degree for the optimal curve |
Δ |
-61088021685726875 = -1 · 54 · 79 · 174 · 29 |
Discriminant |
Eigenvalues |
-2 3 5- 7- -4 6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,65513,-9987560] |
[a1,a2,a3,a4,a6] |
j |
770590789632/1513818125 |
j-invariant |
L |
2.9271226538721 |
L(r)(E,1)/r! |
Ω |
0.18294527208124 |
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 |
120785f1 |
Quadratic twists by: -7 |