Atkin-Lehner |
2+ 3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
105336h |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
1092 |
Product of Tamagawa factors cp |
deg |
34245120 |
Modular degree for the optimal curve |
Δ |
-3.5805343124566E+26 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11- -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,165348717,-398872144386] |
[a1,a2,a3,a4,a6] |
Generators |
[4194:606936:1] [4975:739508:1] |
Generators of the group modulo torsion |
j |
18082666788542151346071252/12950427924105019786823 |
j-invariant |
L |
11.353931283327 |
L(r)(E,1)/r! |
Ω |
0.030271573006161 |
Real period |
R |
0.34346986087148 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105336bg1 |
Quadratic twists by: -3 |