Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350be |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1539885937500 = -1 · 22 · 34 · 58 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 6 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3151,-90802] |
[a1,a2,a3,a4,a6] |
Generators |
[136:1346:1] |
Generators of the group modulo torsion |
j |
-18191447/8100 |
j-invariant |
L |
6.8544274391107 |
L(r)(E,1)/r! |
Ω |
0.31189505134913 |
Real period |
R |
2.7470888878267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001862 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15870w1 79350bf1 |
Quadratic twists by: 5 -23 |