Atkin-Lehner |
2- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
73964a |
Isogeny class |
Conductor |
73964 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
688800 |
Modular degree for the optimal curve |
Δ |
-57619220453337136 = -1 · 24 · 11 · 419 |
Discriminant |
Eigenvalues |
2- 2 1 -3 11+ -2 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,91895,-4321602] |
[a1,a2,a3,a4,a6] |
Generators |
[10158:68921:216] [1021878:30298536:1331] |
Generators of the group modulo torsion |
j |
16384/11 |
j-invariant |
L |
13.87890686771 |
L(r)(E,1)/r! |
Ω |
0.20012755243062 |
Real period |
R |
34.675152669551 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999129 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73964e1 |
Quadratic twists by: 41 |