Atkin-Lehner |
2- 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
128700ce |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
-2.40071563017E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-294375,-243621250] |
[a1,a2,a3,a4,a6] |
j |
-38698930000/329316273 |
j-invariant |
L |
3.2395391827651 |
L(r)(E,1)/r! |
Ω |
0.089987207448462 |
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 |
42900n1 128700q1 |
Quadratic twists by: -3 5 |