Atkin-Lehner |
5+ 7+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
103075d |
Isogeny class |
Conductor |
103075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-38693388671875 = -1 · 510 · 7 · 19 · 313 |
Discriminant |
Eigenvalues |
2 -2 5+ 7+ 0 -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2242,-295731] |
[a1,a2,a3,a4,a6] |
Generators |
[47546:3665857:8] |
Generators of the group modulo torsion |
j |
79729086464/2476376875 |
j-invariant |
L |
6.2978033336458 |
L(r)(E,1)/r! |
Ω |
0.31229713185197 |
Real period |
R |
10.083031007389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20615i1 |
Quadratic twists by: 5 |