Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020ci |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-6737226360480000 = -1 · 28 · 313 · 54 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 6 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44247,5331886] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:2430:1] |
Generators of the group modulo torsion |
j |
-21380386384/15035625 |
j-invariant |
L |
8.3448680752951 |
L(r)(E,1)/r! |
Ω |
0.38811789555446 |
Real period |
R |
0.44793455843403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32340x1 97020cb1 |
Quadratic twists by: -3 -7 |