Atkin-Lehner |
2- 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
74340l |
Isogeny class |
Conductor |
74340 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2387420179200 = 28 · 37 · 52 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-176223,28473478] |
[a1,a2,a3,a4,a6] |
Generators |
[239:90:1] [-289:7434:1] |
Generators of the group modulo torsion |
j |
3242977903408336/12792675 |
j-invariant |
L |
10.462243305931 |
L(r)(E,1)/r! |
Ω |
0.71763714553691 |
Real period |
R |
0.60744738078883 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24780p2 |
Quadratic twists by: -3 |