Atkin-Lehner |
7- 43+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128527c |
Isogeny class |
Conductor |
128527 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
269280 |
Modular degree for the optimal curve |
Δ |
-49375858099981 = -1 · 76 · 432 · 613 |
Discriminant |
Eigenvalues |
1 2 1 7- -3 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7032,-410143] |
[a1,a2,a3,a4,a6] |
j |
-326940373369/419687869 |
j-invariant |
L |
1.9896992789658 |
L(r)(E,1)/r! |
Ω |
0.24871215142737 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2623a1 |
Quadratic twists by: -7 |