Atkin-Lehner |
2+ 3+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
98022b |
Isogeny class |
Conductor |
98022 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2466804400128 = -1 · 224 · 32 · 17 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 -3 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-119230,15796852] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1994:1] [199:-86:1] |
Generators of the group modulo torsion |
j |
-195057497317059625/2566914048 |
j-invariant |
L |
7.036824956892 |
L(r)(E,1)/r! |
Ω |
0.74200362947777 |
Real period |
R |
2.3708862993829 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98022j2 |
Quadratic twists by: -31 |