Atkin-Lehner |
2- 3+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74382bf |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
45360 |
Modular degree for the optimal curve |
Δ |
-1607320638 = -1 · 2 · 33 · 76 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- -3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-589,5585] |
[a1,a2,a3,a4,a6] |
j |
-192100033/13662 |
j-invariant |
L |
1.474910326948 |
L(r)(E,1)/r! |
Ω |
1.4749103199051 |
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 |
1518r1 |
Quadratic twists by: -7 |