Atkin-Lehner |
5+ 7+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
103075f |
Isogeny class |
Conductor |
103075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
365568 |
Modular degree for the optimal curve |
Δ |
-2964412841796875 = -1 · 513 · 7 · 192 · 312 |
Discriminant |
Eigenvalues |
0 1 5+ 7+ 3 -3 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,31367,1523769] |
[a1,a2,a3,a4,a6] |
Generators |
[63:1937:1] |
Generators of the group modulo torsion |
j |
218428242919424/189722421875 |
j-invariant |
L |
5.0139455664911 |
L(r)(E,1)/r! |
Ω |
0.29323308222379 |
Real period |
R |
2.1373550036697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000445 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20615j1 |
Quadratic twists by: 5 |