Atkin-Lehner |
2+ 3- 5+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110m |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6497792 |
Modular degree for the optimal curve |
Δ |
-4.8156676719091E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 2 13+ -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2579625,-3699421875] |
[a1,a2,a3,a4,a6] |
Generators |
[2353336875758:129927748669321:590589719] |
Generators of the group modulo torsion |
j |
-2604150083359733274001/6605854145280000000 |
j-invariant |
L |
4.3422962178738 |
L(r)(E,1)/r! |
Ω |
0.055447554979285 |
Real period |
R |
19.578393580637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32370bg1 |
Quadratic twists by: -3 |