Atkin-Lehner |
2+ 3+ 5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650w |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1766016 |
Modular degree for the optimal curve |
Δ |
113222269395000 = 23 · 37 · 54 · 234 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -2 -3 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-766975,-258854675] |
[a1,a2,a3,a4,a6] |
j |
79834057745662796425/181155631032 |
j-invariant |
L |
0.64530688258699 |
L(r)(E,1)/r! |
Ω |
0.16132595253978 |
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 |
127650cw1 |
Quadratic twists by: 5 |