Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11858l |
Isogeny class |
Conductor |
11858 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-353067511870766 = -1 · 2 · 77 · 118 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- 11- 7 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,17663,-27590] |
[a1,a2,a3,a4,a6] |
Generators |
[74:1261:1] |
Generators of the group modulo torsion |
j |
24167/14 |
j-invariant |
L |
3.5131161532423 |
L(r)(E,1)/r! |
Ω |
0.3202661638788 |
Real period |
R |
2.7423410193371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94864co1 106722hc1 1694a1 11858bg1 |
Quadratic twists by: -4 -3 -7 -11 |