Atkin-Lehner |
2+ 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
7950c |
Isogeny class |
Conductor |
7950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-23182200000000 = -1 · 29 · 37 · 58 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -3 2 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10150,452500] |
[a1,a2,a3,a4,a6] |
j |
-7402333827169/1483660800 |
j-invariant |
L |
1.2953439215073 |
L(r)(E,1)/r! |
Ω |
0.64767196075367 |
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 |
63600de1 23850ci1 1590s1 |
Quadratic twists by: -4 -3 5 |