Atkin-Lehner |
2- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
10010x |
Isogeny class |
Conductor |
10010 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-357076720 = -1 · 24 · 5 · 74 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,128,-749] |
[a1,a2,a3,a4,a6] |
Generators |
[355:6507:1] |
Generators of the group modulo torsion |
j |
233631077679/357076720 |
j-invariant |
L |
7.0332955160629 |
L(r)(E,1)/r! |
Ω |
0.89978301305265 |
Real period |
R |
3.9083286826017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
80080bq1 90090be1 50050a1 70070bc1 |
Quadratic twists by: -4 -3 5 -7 |