Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600v |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-13946206579200 = -1 · 29 · 33 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 3 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14128,675592] |
[a1,a2,a3,a4,a6] |
j |
-207108680/9261 |
j-invariant |
L |
1.3968618345537 |
L(r)(E,1)/r! |
Ω |
0.69843090455925 |
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 |
117600gs1 117600hw1 16800o1 |
Quadratic twists by: -4 5 -7 |