Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400dw |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-6269491200 = -1 · 211 · 3 · 52 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,272,3488] |
[a1,a2,a3,a4,a6] |
Generators |
[19:126:1] |
Generators of the group modulo torsion |
j |
43307470/122451 |
j-invariant |
L |
7.8807853816457 |
L(r)(E,1)/r! |
Ω |
0.94179416003868 |
Real period |
R |
2.0919606735777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71400t1 |
Quadratic twists by: 5 |