Atkin-Lehner |
2- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
93248bi |
Isogeny class |
Conductor |
93248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-70122496 = -1 · 210 · 31 · 472 |
Discriminant |
Eigenvalues |
2- 2 1 -5 4 -2 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,473] |
[a1,a2,a3,a4,a6] |
Generators |
[122:423:8] |
Generators of the group modulo torsion |
j |
-30118144/68479 |
j-invariant |
L |
8.2837741013332 |
L(r)(E,1)/r! |
Ω |
1.7283952344739 |
Real period |
R |
2.3963772671973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93248i1 23312b1 |
Quadratic twists by: -4 8 |