Atkin-Lehner |
2+ 3+ 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370p |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-1442810880 = -1 · 210 · 34 · 5 · 72 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 7 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,283,141] |
[a1,a2,a3,a4,a6] |
Generators |
[10:59:1] |
Generators of the group modulo torsion |
j |
50872947671/29445120 |
j-invariant |
L |
5.1144630706609 |
L(r)(E,1)/r! |
Ω |
0.90601061066316 |
Real period |
R |
1.4112591492601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031597 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104370bd1 |
Quadratic twists by: -7 |