Atkin-Lehner |
2- 3+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
78498bd |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-1797569213990886 = -1 · 2 · 39 · 78 · 892 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -1 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,23731,1470907] |
[a1,a2,a3,a4,a6] |
Generators |
[-844:69187:64] |
Generators of the group modulo torsion |
j |
13026069/15842 |
j-invariant |
L |
7.2734705896556 |
L(r)(E,1)/r! |
Ω |
0.31480333282113 |
Real period |
R |
5.7762020232596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969402 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78498c1 78498bh1 |
Quadratic twists by: -3 -7 |