Atkin-Lehner |
2+ 7+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
47656b |
Isogeny class |
Conductor |
47656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
85399552 = 211 · 72 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 0 -4 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36307,-2662770] |
[a1,a2,a3,a4,a6] |
Generators |
[374:6006:1] [914:26976:1] |
Generators of the group modulo torsion |
j |
2584430486627922/41699 |
j-invariant |
L |
6.8085099494992 |
L(r)(E,1)/r! |
Ω |
0.34586129542549 |
Real period |
R |
39.371332031379 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95312a2 |
Quadratic twists by: -4 |