Atkin-Lehner |
5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
79475h |
Isogeny class |
Conductor |
79475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4112640 |
Modular degree for the optimal curve |
Δ |
-145073955530796875 = -1 · 56 · 113 · 178 |
Discriminant |
Eigenvalues |
-2 3 5+ 2 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2088025,1161463906] |
[a1,a2,a3,a4,a6] |
j |
-9236754432/1331 |
j-invariant |
L |
3.7785324852955 |
L(r)(E,1)/r! |
Ω |
0.31487770546724 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3179d1 79475u1 |
Quadratic twists by: 5 17 |