Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728ey |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
149184 = 26 · 32 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-344,-2574] |
[a1,a2,a3,a4,a6] |
Generators |
[49059990:-131822279:2000376] |
Generators of the group modulo torsion |
j |
70547387968/2331 |
j-invariant |
L |
7.3392034979732 |
L(r)(E,1)/r! |
Ω |
1.1082957018754 |
Real period |
R |
13.244125165444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728dd1 24864e2 |
Quadratic twists by: -4 8 |