Atkin-Lehner |
2+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
113600z |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
1454080000000000 = 221 · 510 · 71 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 2 -1 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44033,-3032063] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:704:1] [-93:500:1] |
Generators of the group modulo torsion |
j |
2305199161/355000 |
j-invariant |
L |
10.046565920343 |
L(r)(E,1)/r! |
Ω |
0.33298747682974 |
Real period |
R |
3.7713752846745 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985751 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113600bx1 3550m1 22720f1 |
Quadratic twists by: -4 8 5 |