Atkin-Lehner |
2- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
62422f |
Isogeny class |
Conductor |
62422 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-8943736269824 = -1 · 210 · 236 · 59 |
Discriminant |
Eigenvalues |
2- -1 -1 -3 -2 -6 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13236,-609035] |
[a1,a2,a3,a4,a6] |
Generators |
[197:2017:1] |
Generators of the group modulo torsion |
j |
-1732323601/60416 |
j-invariant |
L |
4.3787960403563 |
L(r)(E,1)/r! |
Ω |
0.22209605318578 |
Real period |
R |
0.98578880121537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118b1 |
Quadratic twists by: -23 |