Atkin-Lehner |
2+ 5+ 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
102350i |
Isogeny class |
Conductor |
102350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122112 |
Modular degree for the optimal curve |
Δ |
-6396875000 = -1 · 23 · 58 · 23 · 89 |
Discriminant |
Eigenvalues |
2+ -3 5+ -1 5 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,458,-884] |
[a1,a2,a3,a4,a6] |
Generators |
[9:58:1] |
Generators of the group modulo torsion |
j |
679151439/409400 |
j-invariant |
L |
2.6137542793912 |
L(r)(E,1)/r! |
Ω |
0.778109826939 |
Real period |
R |
0.8397767755997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000127304 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20470j1 |
Quadratic twists by: 5 |