Atkin-Lehner |
2+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
118496a |
Isogeny class |
Conductor |
118496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
-66320078272 = -1 · 26 · 7 · 236 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ -4 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,882,-7504] |
[a1,a2,a3,a4,a6] |
Generators |
[215:3174:1] [1160:39504:1] |
Generators of the group modulo torsion |
j |
8000/7 |
j-invariant |
L |
15.390694515579 |
L(r)(E,1)/r! |
Ω |
0.60587608598657 |
Real period |
R |
12.701189958339 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999979976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118496e1 224b1 |
Quadratic twists by: -4 -23 |