Atkin-Lehner |
2- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
20618g |
Isogeny class |
Conductor |
20618 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
103488 |
Modular degree for the optimal curve |
Δ |
-478181850638336 = -1 · 211 · 137 · 612 |
Discriminant |
Eigenvalues |
2- -1 -3 -1 -2 13+ -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18847,1440837] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:1362:1] [27:962:1] |
Generators of the group modulo torsion |
j |
-153388121977/99067904 |
j-invariant |
L |
7.6508237846111 |
L(r)(E,1)/r! |
Ω |
0.48521479155934 |
Real period |
R |
0.17918080998973 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1586a1 |
Quadratic twists by: 13 |