Atkin-Lehner |
2- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
25970x |
Isogeny class |
Conductor |
25970 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
463680 |
Modular degree for the optimal curve |
Δ |
-2994237639400000 = -1 · 26 · 55 · 710 · 53 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 2 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1320600,-584240000] |
[a1,a2,a3,a4,a6] |
j |
-901689913000849/10600000 |
j-invariant |
L |
2.112504693196 |
L(r)(E,1)/r! |
Ω |
0.070416823106532 |
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 |
129850k1 25970t1 |
Quadratic twists by: 5 -7 |