Atkin-Lehner |
3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103635bo |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
2695680 |
Modular degree for the optimal curve |
Δ |
-6.6386356721239E+19 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -6 -3 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52929,392051610] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:19914:1] |
Generators of the group modulo torsion |
j |
-191202526081/774039398625 |
j-invariant |
L |
6.3216820942863 |
L(r)(E,1)/r! |
Ω |
0.15706721790567 |
Real period |
R |
1.3416086351758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34545q1 2115d1 |
Quadratic twists by: -3 -7 |