Atkin-Lehner |
2+ 3+ 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478f |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
249984 |
Modular degree for the optimal curve |
Δ |
-1670304448512 = -1 · 214 · 32 · 72 · 19 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -5 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5569,-173963] |
[a1,a2,a3,a4,a6] |
j |
-389925044613097/34087845888 |
j-invariant |
L |
1.0997987462712 |
L(r)(E,1)/r! |
Ω |
0.27494992587497 |
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 |
128478bb1 |
Quadratic twists by: -7 |