Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77400i |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-4897968750000 = -1 · 24 · 36 · 510 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -5 -3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3750,-59375] |
[a1,a2,a3,a4,a6] |
j |
51200/43 |
j-invariant |
L |
1.7000792596112 |
L(r)(E,1)/r! |
Ω |
0.42501981776769 |
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 |
8600g1 77400by1 |
Quadratic twists by: -3 5 |