Atkin-Lehner |
2+ 3+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
29070a |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
13953600 = 26 · 33 · 52 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-60,16] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:11:1] |
Generators of the group modulo torsion |
j |
893056347/516800 |
j-invariant |
L |
3.8606332150009 |
L(r)(E,1)/r! |
Ω |
1.884105420121 |
Real period |
R |
1.024526858681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29070z1 |
Quadratic twists by: -3 |