Atkin-Lehner |
2+ 3+ 11+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
104346c |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
901521119807751168 = 210 · 39 · 115 · 172 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11+ -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-242367,-4666483] |
[a1,a2,a3,a4,a6] |
j |
79993350826171875/45802017975296 |
j-invariant |
L |
0.93321053613329 |
L(r)(E,1)/r! |
Ω |
0.23330268587863 |
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 |
104346bl1 |
Quadratic twists by: -3 |