Atkin-Lehner |
2+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34720g |
Isogeny class |
Conductor |
34720 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
843834880 = 29 · 5 · 73 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18283,951522] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:1302:1] [94:252:1] |
Generators of the group modulo torsion |
j |
1320067469776392/1648115 |
j-invariant |
L |
8.0696386253163 |
L(r)(E,1)/r! |
Ω |
1.3396445579062 |
Real period |
R |
4.0158107998083 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34720t2 69440br2 |
Quadratic twists by: -4 8 |