Atkin-Lehner |
5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
79475x |
Isogeny class |
Conductor |
79475 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
771120 |
Modular degree for the optimal curve |
Δ |
-145073955530796875 = -1 · 56 · 113 · 178 |
Discriminant |
Eigenvalues |
-2 0 5+ 2 11- 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,122825,-7830094] |
[a1,a2,a3,a4,a6] |
Generators |
[578:9533:8] |
Generators of the group modulo torsion |
j |
1880064/1331 |
j-invariant |
L |
3.1951676603444 |
L(r)(E,1)/r! |
Ω |
0.18383137768427 |
Real period |
R |
1.9312188874419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006728 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3179g1 79475f1 |
Quadratic twists by: 5 17 |