Atkin-Lehner |
2+ 3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
12390d |
Isogeny class |
Conductor |
12390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
13876800 = 26 · 3 · 52 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-73,133] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:23:1] |
Generators of the group modulo torsion |
j |
43949604889/13876800 |
j-invariant |
L |
2.6787873328233 |
L(r)(E,1)/r! |
Ω |
2.0625257128041 |
Real period |
R |
0.64939489388992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120ch1 37170bk1 61950cf1 86730bi1 |
Quadratic twists by: -4 -3 5 -7 |