Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550dg |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
40642560 |
Modular degree for the optimal curve |
Δ |
-1.1965942370321E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 1 13- -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-44462626,-538530883852] |
[a1,a2,a3,a4,a6] |
Generators |
[30157:5039321:1] |
Generators of the group modulo torsion |
j |
-107920681386000721/1328441886720000 |
j-invariant |
L |
6.0151368203783 |
L(r)(E,1)/r! |
Ω |
0.025137344990912 |
Real period |
R |
1.9940904735492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986279 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19110bw1 95550m1 |
Quadratic twists by: 5 -7 |