Atkin-Lehner |
2- 3- 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
62118bp |
Isogeny class |
Conductor |
62118 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1113600 |
Modular degree for the optimal curve |
Δ |
-5027029826750983674 = -1 · 2 · 321 · 75 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -1 -5 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,417307,-29606857] |
[a1,a2,a3,a4,a6] |
j |
11024633698928592119/6895788514061706 |
j-invariant |
L |
2.7957477657556 |
L(r)(E,1)/r! |
Ω |
0.13978738821798 |
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 |
20706p1 |
Quadratic twists by: -3 |