Atkin-Lehner |
3+ 5+ 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
67545b |
Isogeny class |
Conductor |
67545 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
62976 |
Modular degree for the optimal curve |
Δ |
-350837173125 = -1 · 39 · 54 · 192 · 79 |
Discriminant |
Eigenvalues |
1 3+ 5+ 1 3 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1770,-39979] |
[a1,a2,a3,a4,a6] |
Generators |
[52:55:1] |
Generators of the group modulo torsion |
j |
-31166657523/17824375 |
j-invariant |
L |
7.7733571640083 |
L(r)(E,1)/r! |
Ω |
0.35854446999791 |
Real period |
R |
2.7100394142172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000588 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67545d1 |
Quadratic twists by: -3 |