Atkin-Lehner |
2+ 3+ 11+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
77418d |
Isogeny class |
Conductor |
77418 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-188633829998592 = -1 · 217 · 39 · 11 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -1 11+ -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5091,-674155] |
[a1,a2,a3,a4,a6] |
j |
-741463359651/9583591424 |
j-invariant |
L |
0.96924082382471 |
L(r)(E,1)/r! |
Ω |
0.2423102112367 |
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 |
77418q1 |
Quadratic twists by: -3 |