Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032bt |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-1401474819741696 = -1 · 211 · 37 · 74 · 194 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -3 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-278859,-56707994] |
[a1,a2,a3,a4,a6] |
Generators |
[1358:45486:1] |
Generators of the group modulo torsion |
j |
-669003004754/390963 |
j-invariant |
L |
4.4907308375983 |
L(r)(E,1)/r! |
Ω |
0.10387431437381 |
Real period |
R |
1.8013479660658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22344n1 67032cu1 |
Quadratic twists by: -3 -7 |