Atkin-Lehner |
2- 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
77700t |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
8804381250000 = 24 · 3 · 58 · 73 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7033,174188] |
[a1,a2,a3,a4,a6] |
j |
153910165504/35217525 |
j-invariant |
L |
1.3797597950321 |
L(r)(E,1)/r! |
Ω |
0.68987990590418 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15540c1 |
Quadratic twists by: 5 |