Atkin-Lehner |
2+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344bw |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
3440640 |
Modular degree for the optimal curve |
Δ |
-5.5908324084915E+20 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11- 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7577036,-8108016016] |
[a1,a2,a3,a4,a6] |
j |
-183519341483677631433/2132733310124032 |
j-invariant |
L |
1.8186704378356 |
L(r)(E,1)/r! |
Ω |
0.045466769798077 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344ch1 3542d1 |
Quadratic twists by: -4 8 |