Atkin-Lehner |
2- 3+ 7- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
123354bm |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
279552 |
Modular degree for the optimal curve |
Δ |
-2567721074688 = -1 · 214 · 33 · 72 · 113 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- 1 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3071,101927] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:186:1] [-45:406:1] |
Generators of the group modulo torsion |
j |
-118595117915091/95100780544 |
j-invariant |
L |
16.644003042094 |
L(r)(E,1)/r! |
Ω |
0.74468855417161 |
Real period |
R |
0.13303742365961 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123354h1 |
Quadratic twists by: -3 |