Atkin-Lehner |
2- 37+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
23384a |
Isogeny class |
Conductor |
23384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2752 |
Modular degree for the optimal curve |
Δ |
-748288 = -1 · 28 · 37 · 79 |
Discriminant |
Eigenvalues |
2- 0 -2 2 -3 -4 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71,234] |
[a1,a2,a3,a4,a6] |
Generators |
[2:10:1] [5:2:1] |
Generators of the group modulo torsion |
j |
-154617552/2923 |
j-invariant |
L |
7.0104971978838 |
L(r)(E,1)/r! |
Ω |
2.8473843146118 |
Real period |
R |
0.6155208099157 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46768b1 |
Quadratic twists by: -4 |