Atkin-Lehner |
2- 5- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123970bu |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
-87274880 = -1 · 27 · 5 · 72 · 112 · 23 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 11+ -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27,459] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:22:1] |
Generators of the group modulo torsion |
j |
-42899409/1781120 |
j-invariant |
L |
7.2651268633277 |
L(r)(E,1)/r! |
Ω |
1.5903874377407 |
Real period |
R |
0.32629635603562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000144048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123970s1 |
Quadratic twists by: -7 |