Atkin-Lehner |
2+ 5+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
73150b |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-726196625000000 = -1 · 26 · 59 · 7 · 112 · 193 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 11+ -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2586150,1599692500] |
[a1,a2,a3,a4,a6] |
Generators |
[-1835:13980:1] [540:18730:1] |
Generators of the group modulo torsion |
j |
-122423581669793912929/46476584000 |
j-invariant |
L |
6.2611434182295 |
L(r)(E,1)/r! |
Ω |
0.41100954599664 |
Real period |
R |
0.31736607860081 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14630p1 |
Quadratic twists by: 5 |