Atkin-Lehner |
2+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12880c |
Isogeny class |
Conductor |
12880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-238473200 = -1 · 24 · 52 · 72 · 233 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 2 -5 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-936,-11365] |
[a1,a2,a3,a4,a6] |
j |
-5674076449024/14904575 |
j-invariant |
L |
1.7258521776789 |
L(r)(E,1)/r! |
Ω |
0.43146304441971 |
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 |
6440b1 51520ch1 115920bx1 64400j1 |
Quadratic twists by: -4 8 -3 5 |