Atkin-Lehner |
2+ 3- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
29610j |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-257079571875000 = -1 · 23 · 36 · 58 · 74 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12306,-567892] |
[a1,a2,a3,a4,a6] |
Generators |
[97:1189:1] |
Generators of the group modulo torsion |
j |
282700817634591/352646875000 |
j-invariant |
L |
3.9238404542235 |
L(r)(E,1)/r! |
Ω |
0.29606965170616 |
Real period |
R |
1.6566373958001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3290f4 |
Quadratic twists by: -3 |