Atkin-Lehner |
2- 3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
74340h |
Isogeny class |
Conductor |
74340 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-18883549440 = -1 · 28 · 36 · 5 · 73 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -1 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1503,23382] |
[a1,a2,a3,a4,a6] |
j |
-2012024016/101185 |
j-invariant |
L |
2.4174768172139 |
L(r)(E,1)/r! |
Ω |
1.2087384121688 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8260a1 |
Quadratic twists by: -3 |