Atkin-Lehner |
2+ 5+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
75650h |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
40189062500 = 22 · 58 · 172 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 0 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-876,-2602] |
[a1,a2,a3,a4,a6] |
Generators |
[167:-2209:1] [-74:583:8] |
Generators of the group modulo torsion |
j |
4750104241/2572100 |
j-invariant |
L |
5.8404728269583 |
L(r)(E,1)/r! |
Ω |
0.93549660891818 |
Real period |
R |
1.5607947616249 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15130k1 |
Quadratic twists by: 5 |