Atkin-Lehner |
2+ 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
7378c |
Isogeny class |
Conductor |
7378 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
16439836672 = 218 · 7 · 172 · 31 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 2 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1477,21333] |
[a1,a2,a3,a4,a6] |
j |
356476236467625/16439836672 |
j-invariant |
L |
1.2228591603389 |
L(r)(E,1)/r! |
Ω |
1.2228591603389 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59024o1 66402bh1 51646l1 125426d1 |
Quadratic twists by: -4 -3 -7 17 |