Atkin-Lehner |
2+ 3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74256bg |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
6014736 = 24 · 35 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -2 13- 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-124,479] |
[a1,a2,a3,a4,a6] |
Generators |
[5:3:1] |
Generators of the group modulo torsion |
j |
13285149952/375921 |
j-invariant |
L |
10.518469223658 |
L(r)(E,1)/r! |
Ω |
2.3822948824177 |
Real period |
R |
0.88305350440979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001308 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37128s1 |
Quadratic twists by: -4 |