Atkin-Lehner |
2- 3+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
64614l |
Isogeny class |
Conductor |
64614 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-915741139632 = -1 · 24 · 3 · 118 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2967,-78627] |
[a1,a2,a3,a4,a6] |
Generators |
[13011:1477662:1] |
Generators of the group modulo torsion |
j |
-13475473/4272 |
j-invariant |
L |
11.181896355099 |
L(r)(E,1)/r! |
Ω |
0.31828441082537 |
Real period |
R |
8.7829437877959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998704 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64614c1 |
Quadratic twists by: -11 |