Atkin-Lehner |
2+ 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
23450h |
Isogeny class |
Conductor |
23450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16800 |
Modular degree for the optimal curve |
Δ |
-5129687500 = -1 · 22 · 58 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 2 -2 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,424,-702] |
[a1,a2,a3,a4,a6] |
Generators |
[1224:8407:512] [11:67:1] |
Generators of the group modulo torsion |
j |
21653735/13132 |
j-invariant |
L |
4.2294798427005 |
L(r)(E,1)/r! |
Ω |
0.79108376561278 |
Real period |
R |
0.4455364512321 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23450o1 |
Quadratic twists by: 5 |