Atkin-Lehner |
2+ 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850by |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
1217284200000000000 = 212 · 37 · 511 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-957942,-356710284] |
[a1,a2,a3,a4,a6] |
j |
8534813931497881/106867200000 |
j-invariant |
L |
1.2217538008696 |
L(r)(E,1)/r! |
Ω |
0.15271919410603 |
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 |
37950cn1 22770bo1 |
Quadratic twists by: -3 5 |