Atkin-Lehner |
2+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800m |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-715281910000000000 = -1 · 210 · 510 · 74 · 313 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,166592,31213188] |
[a1,a2,a3,a4,a6] |
Generators |
[-152:1550:1] [-37:5000:1] |
Generators of the group modulo torsion |
j |
31956819437084/44705119375 |
j-invariant |
L |
7.435510796131 |
L(r)(E,1)/r! |
Ω |
0.19305839992528 |
Real period |
R |
1.6047628591248 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43400f1 17360h1 |
Quadratic twists by: -4 5 |