Atkin-Lehner |
2+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20230a |
Isogeny class |
Conductor |
20230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1370880 |
Modular degree for the optimal curve |
Δ |
-1.3062022367052E+22 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2472160,-5698022400] |
[a1,a2,a3,a4,a6] |
Generators |
[94170868958528:1868525451465824:38992705471] |
Generators of the group modulo torsion |
j |
-14090073029577/110146355200 |
j-invariant |
L |
2.2686291054432 |
L(r)(E,1)/r! |
Ω |
0.053106347659566 |
Real period |
R |
21.359302657999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101150cd1 20230j1 |
Quadratic twists by: 5 17 |