Atkin-Lehner |
2- 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
97328r |
Isogeny class |
Conductor |
97328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
359040 |
Modular degree for the optimal curve |
Δ |
-122517993816064 = -1 · 223 · 75 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 0 3 7+ 11- -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-77411,8307042] |
[a1,a2,a3,a4,a6] |
j |
-12524828773793337/29911619584 |
j-invariant |
L |
1.1793632846808 |
L(r)(E,1)/r! |
Ω |
0.58968171763823 |
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 |
12166h1 |
Quadratic twists by: -4 |