Atkin-Lehner |
2+ 3+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98394b |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31159296 |
Modular degree for the optimal curve |
Δ |
2.0487119325913E+24 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 3 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-326452523,2269092674301] |
[a1,a2,a3,a4,a6] |
j |
2136157539321973103/1137444913152 |
j-invariant |
L |
0.32663757691123 |
L(r)(E,1)/r! |
Ω |
0.081659418220193 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98394a1 |
Quadratic twists by: -23 |