Atkin-Lehner |
2+ 3+ 5+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
116850f |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9123840 |
Modular degree for the optimal curve |
Δ |
-2.05008651E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -1 3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-63486900,-194730318000] |
[a1,a2,a3,a4,a6] |
j |
-1811156843149578655242049/1312055366400000 |
j-invariant |
L |
0.85575301887667 |
L(r)(E,1)/r! |
Ω |
0.026742284753365 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23370s1 |
Quadratic twists by: 5 |