Atkin-Lehner |
2+ 3+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072ba |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
19218432 = 214 · 3 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -1 2 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69,93] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:17:1] |
Generators of the group modulo torsion |
j |
2249728/1173 |
j-invariant |
L |
4.5376504419782 |
L(r)(E,1)/r! |
Ω |
1.908791553581 |
Real period |
R |
2.3772372801113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072dc1 9384f1 |
Quadratic twists by: -4 8 |