Atkin-Lehner |
2- 3+ 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
108240bg |
Isogeny class |
Conductor |
108240 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
112492800 |
Modular degree for the optimal curve |
Δ |
-4.0145865525576E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 11- 0 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12817206160,558524382880192] |
[a1,a2,a3,a4,a6] |
j |
-56851754726231151287910819578641/98012367005801250816000 |
j-invariant |
L |
1.3670489454952 |
L(r)(E,1)/r! |
Ω |
0.045568294292928 |
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 |
13530u1 |
Quadratic twists by: -4 |