Atkin-Lehner |
2+ 3+ 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
61050r |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
76312500000 = 25 · 3 · 59 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11- 7 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-41200,-3236000] |
[a1,a2,a3,a4,a6] |
j |
3960060232661/39072 |
j-invariant |
L |
0.67019955236113 |
L(r)(E,1)/r! |
Ω |
0.33509977423148 |
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 |
61050cy1 |
Quadratic twists by: 5 |