Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48720cv |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-12472320000 = -1 · 215 · 3 · 54 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 -1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,240,-5100] |
[a1,a2,a3,a4,a6] |
Generators |
[20:90:1] |
Generators of the group modulo torsion |
j |
371694959/3045000 |
j-invariant |
L |
8.1195579627395 |
L(r)(E,1)/r! |
Ω |
0.62765988120534 |
Real period |
R |
1.6170298209803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6090v1 |
Quadratic twists by: -4 |