Atkin-Lehner |
2+ 3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
102480w |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
527139083520 = 28 · 39 · 5 · 73 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 5 1 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2465,30795] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:-189:1] |
Generators of the group modulo torsion |
j |
6473075762176/2059137045 |
j-invariant |
L |
11.08485866778 |
L(r)(E,1)/r! |
Ω |
0.85614941505634 |
Real period |
R |
0.47953115864361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001336 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51240q1 |
Quadratic twists by: -4 |