Atkin-Lehner |
11+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
98923a |
Isogeny class |
Conductor |
98923 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-2238330721 = -1 · 114 · 172 · 232 |
Discriminant |
Eigenvalues |
1 -2 1 -4 11+ 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,322,-435] |
[a1,a2,a3,a4,a6] |
Generators |
[78:441:8] [25:140:1] |
Generators of the group modulo torsion |
j |
7010887991/4231249 |
j-invariant |
L |
8.1985026317378 |
L(r)(E,1)/r! |
Ω |
0.84894800731619 |
Real period |
R |
2.4143123493611 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999539 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98923d1 |
Quadratic twists by: -23 |