Atkin-Lehner |
2- 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850dv |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7464960 |
Modular degree for the optimal curve |
Δ |
-1.5443636302733E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11+ -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-299480,-5979317853] |
[a1,a2,a3,a4,a6] |
Generators |
[4505423:96673065:2197] |
Generators of the group modulo torsion |
j |
-260782396264369/1355819922325000 |
j-invariant |
L |
10.935939356768 |
L(r)(E,1)/r! |
Ω |
0.056475462469573 |
Real period |
R |
8.0683560600933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12650m1 22770u1 |
Quadratic twists by: -3 5 |