Atkin-Lehner |
2+ 3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
121128j |
Isogeny class |
Conductor |
121128 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
540288 |
Modular degree for the optimal curve |
Δ |
-375759506282496 = -1 · 211 · 3 · 78 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 3 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-151720,-22816144] |
[a1,a2,a3,a4,a6] |
Generators |
[11868166893:510900572602:6128487] |
Generators of the group modulo torsion |
j |
-32714538962/31827 |
j-invariant |
L |
9.5684100134593 |
L(r)(E,1)/r! |
Ω |
0.12094370726861 |
Real period |
R |
13.185762478006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031289 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121128d1 |
Quadratic twists by: -7 |