Atkin-Lehner |
2+ 3+ 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370j |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2624638888321228800 = 213 · 32 · 52 · 710 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-481686048,4068860433408] |
[a1,a2,a3,a4,a6] |
Generators |
[12669:-5967:1] |
Generators of the group modulo torsion |
j |
105057648314853281174970361/22309062451200 |
j-invariant |
L |
2.0458058056359 |
L(r)(E,1)/r! |
Ω |
0.14966558743763 |
Real period |
R |
1.70864746484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999669721 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910x2 |
Quadratic twists by: -7 |