Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
95760i |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
42337786579200 = 28 · 39 · 52 · 72 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1543023,737745678] |
[a1,a2,a3,a4,a6] |
Generators |
[829:5320:1] |
Generators of the group modulo torsion |
j |
80632412357305968/8402275 |
j-invariant |
L |
6.6214496849527 |
L(r)(E,1)/r! |
Ω |
0.49552406173628 |
Real period |
R |
1.1135432486394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004735 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47880r1 95760r1 |
Quadratic twists by: -4 -3 |