Atkin-Lehner |
2+ 3+ 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370v |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3410737570359000000 = -1 · 26 · 34 · 56 · 76 · 713 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,218368,-79612224] |
[a1,a2,a3,a4,a6] |
Generators |
[517:12849:1] |
Generators of the group modulo torsion |
j |
9788121552577031/28990791000000 |
j-invariant |
L |
5.3725894700627 |
L(r)(E,1)/r! |
Ω |
0.12850591002318 |
Real period |
R |
3.4840093301084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992787 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2130d3 |
Quadratic twists by: -7 |