Atkin-Lehner |
2+ 3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650cc |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
62976 |
Modular degree for the optimal curve |
Δ |
-8305132500 = -1 · 22 · 37 · 54 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117,4441] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-172:1] [-16:53:1] |
Generators of the group modulo torsion |
j |
-390625/18228 |
j-invariant |
L |
8.6109006988674 |
L(r)(E,1)/r! |
Ω |
1.0861841461375 |
Real period |
R |
0.16515962342519 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000739 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32550cf1 97650cz1 |
Quadratic twists by: -3 5 |