Atkin-Lehner |
5+ 7+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
103075a |
Isogeny class |
Conductor |
103075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6110208 |
Modular degree for the optimal curve |
Δ |
-6.5650063241029E+22 |
Discriminant |
Eigenvalues |
0 1 5+ 7+ -1 -3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-15708383,-26953410731] |
[a1,a2,a3,a4,a6] |
Generators |
[286892697:5998863853:59319] |
Generators of the group modulo torsion |
j |
-27434570069006664564736/4201604047425855875 |
j-invariant |
L |
3.948100530492 |
L(r)(E,1)/r! |
Ω |
0.03759972397565 |
Real period |
R |
13.125430589677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999813196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20615h1 |
Quadratic twists by: 5 |