Atkin-Lehner |
2+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
103600t |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47360 |
Modular degree for the optimal curve |
Δ |
-8093750000 = -1 · 24 · 59 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 4 -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-708,-8213] |
[a1,a2,a3,a4,a6] |
Generators |
[7422:17875:216] |
Generators of the group modulo torsion |
j |
-1257728/259 |
j-invariant |
L |
4.6497179398737 |
L(r)(E,1)/r! |
Ω |
0.45764846949995 |
Real period |
R |
5.0800103703835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51800z1 103600w1 |
Quadratic twists by: -4 5 |