Atkin-Lehner |
2+ 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
105966s |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25056000 |
Modular degree for the optimal curve |
Δ |
-3.1872183594294E+25 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -1 0 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,78229242,53389330740] |
[a1,a2,a3,a4,a6] |
Generators |
[148602420:23603952870:6859] |
Generators of the group modulo torsion |
j |
145184269597247/87397761024 |
j-invariant |
L |
3.4037390514006 |
L(r)(E,1)/r! |
Ω |
0.040349450922072 |
Real period |
R |
7.029709582613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999700323 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35322be1 105966bv1 |
Quadratic twists by: -3 29 |