Atkin-Lehner |
2- 11- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97526s |
Isogeny class |
Conductor |
97526 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
129888 |
Modular degree for the optimal curve |
Δ |
-691093032344 = -1 · 23 · 118 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 0 3 0 11- 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3411,-85621] |
[a1,a2,a3,a4,a6] |
Generators |
[57805589:270666688:704969] |
Generators of the group modulo torsion |
j |
-20469537/3224 |
j-invariant |
L |
12.330176226724 |
L(r)(E,1)/r! |
Ω |
0.30967912009274 |
Real period |
R |
13.271991768848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97526k1 |
Quadratic twists by: -11 |