Atkin-Lehner |
2- 11- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
125488n |
Isogeny class |
Conductor |
125488 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1008000 |
Modular degree for the optimal curve |
Δ |
-109383460118552576 = -1 · 213 · 117 · 23 · 313 |
Discriminant |
Eigenvalues |
2- -1 1 1 11- 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2040,-15911696] |
[a1,a2,a3,a4,a6] |
j |
-229333309561/26704946318006 |
j-invariant |
L |
2.1368116783289 |
L(r)(E,1)/r! |
Ω |
0.15262931076604 |
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 |
15686b1 |
Quadratic twists by: -4 |