Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13552g |
Isogeny class |
Conductor |
13552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-384131114752 = -1 · 28 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1492,-36672] |
[a1,a2,a3,a4,a6] |
Generators |
[14538615:-954068786:3375] |
Generators of the group modulo torsion |
j |
-810448/847 |
j-invariant |
L |
7.5165636576343 |
L(r)(E,1)/r! |
Ω |
0.36871066818842 |
Real period |
R |
10.193037937531 |
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 |
6776h1 54208dd1 121968cd1 94864y1 |
Quadratic twists by: -4 8 -3 -7 |