Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
7050x |
Isogeny class |
Conductor |
7050 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
2496 |
Modular degree for the optimal curve |
Δ |
28876800 = 213 · 3 · 52 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 0 5 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-118,371] |
[a1,a2,a3,a4,a6] |
Generators |
[1:15:1] |
Generators of the group modulo torsion |
j |
7272098185/1155072 |
j-invariant |
L |
4.8884191600755 |
L(r)(E,1)/r! |
Ω |
2.0073925446047 |
Real period |
R |
0.18732372205596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56400cs1 21150u1 7050p1 |
Quadratic twists by: -4 -3 5 |