Atkin-Lehner |
2+ 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20350n |
Isogeny class |
Conductor |
20350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-635937500 = -1 · 22 · 58 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 11- 1 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,49,-1202] |
[a1,a2,a3,a4,a6] |
Generators |
[13:34:1] |
Generators of the group modulo torsion |
j |
34295/1628 |
j-invariant |
L |
4.1849043741376 |
L(r)(E,1)/r! |
Ω |
0.77695698228561 |
Real period |
R |
2.6931377602314 |
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 |
20350x1 |
Quadratic twists by: 5 |