Atkin-Lehner |
2- 3- 5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
25530bm |
Isogeny class |
Conductor |
25530 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-189919265625000000 = -1 · 26 · 33 · 512 · 233 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -6 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1800340,-930165808] |
[a1,a2,a3,a4,a6] |
j |
-645338119885238134244161/189919265625000000 |
j-invariant |
L |
4.6919757009983 |
L(r)(E,1)/r! |
Ω |
0.065166329180532 |
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 |
76590l1 127650a1 |
Quadratic twists by: -3 5 |