Atkin-Lehner |
2+ 3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
12978g |
Isogeny class |
Conductor |
12978 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-442207889956854 = -1 · 2 · 311 · 76 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 -4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16704,-581378] |
[a1,a2,a3,a4,a6] |
Generators |
[1439:54068:1] |
Generators of the group modulo torsion |
j |
707038402581503/606595185126 |
j-invariant |
L |
3.6230085282295 |
L(r)(E,1)/r! |
Ω |
0.29142948597256 |
Real period |
R |
6.2159264978607 |
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 |
103824ca2 4326e2 90846bl2 |
Quadratic twists by: -4 -3 -7 |