Atkin-Lehner |
2+ 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
116600h |
Isogeny class |
Conductor |
116600 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
23761920 |
Modular degree for the optimal curve |
Δ |
-3.8789719364921E+23 |
Discriminant |
Eigenvalues |
2+ -3 5+ -4 11- 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10629700,-32800065500] |
[a1,a2,a3,a4,a6] |
Generators |
[4954:190058:1] [5834:322102:1] |
Generators of the group modulo torsion |
j |
-33206778390345698304/96974298412302179 |
j-invariant |
L |
6.4107504567213 |
L(r)(E,1)/r! |
Ω |
0.038688854478928 |
Real period |
R |
1.5932710374501 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.00000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4664e1 |
Quadratic twists by: 5 |