Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410u |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
453600 |
Modular degree for the optimal curve |
Δ |
-1098281438100000 = -1 · 25 · 37 · 55 · 73 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1270502,-551734476] |
[a1,a2,a3,a4,a6] |
j |
-15491003951990952121/75014100000 |
j-invariant |
L |
1.0665146099166 |
L(r)(E,1)/r! |
Ω |
0.071100973994449 |
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 |
76230dz1 127050hj1 25410cb1 |
Quadratic twists by: -3 5 -11 |