Atkin-Lehner |
2- 5- 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
121900k |
Isogeny class |
Conductor |
121900 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1723680 |
Modular degree for the optimal curve |
Δ |
3417710300000000 = 28 · 58 · 233 · 532 |
Discriminant |
Eigenvalues |
2- -2 5- 5 3 5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-419708,104479588] |
[a1,a2,a3,a4,a6] |
j |
81764820721360/34177103 |
j-invariant |
L |
2.6308281760988 |
L(r)(E,1)/r! |
Ω |
0.4384714155245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
121900d1 |
Quadratic twists by: 5 |