Atkin-Lehner |
2+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
126400bb |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1663488 |
Modular degree for the optimal curve |
Δ |
-536097817886720000 = -1 · 237 · 54 · 792 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 1 -2 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1757633,-896998463] |
[a1,a2,a3,a4,a6] |
j |
-3665123505412225/3272081408 |
j-invariant |
L |
1.5733505062017 |
L(r)(E,1)/r! |
Ω |
0.065556270532602 |
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 |
126400cr1 3950i1 126400d1 |
Quadratic twists by: -4 8 5 |