Atkin-Lehner |
2+ 5- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
44950i |
Isogeny class |
Conductor |
44950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40800 |
Modular degree for the optimal curve |
Δ |
-56187500000 = -1 · 25 · 59 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 2 -4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1825,-32875] |
[a1,a2,a3,a4,a6] |
j |
-344472101/28768 |
j-invariant |
L |
0.72691457091438 |
L(r)(E,1)/r! |
Ω |
0.36345728557736 |
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 |
44950t1 |
Quadratic twists by: 5 |