Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11858r |
Isogeny class |
Conductor |
11858 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2093337277881771614 = 2 · 79 · 1110 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-338077,29617410] |
[a1,a2,a3,a4,a6] |
Generators |
[4:5314:1] |
Generators of the group modulo torsion |
j |
59776471/29282 |
j-invariant |
L |
1.6186577902005 |
L(r)(E,1)/r! |
Ω |
0.23192166381677 |
Real period |
R |
3.4896649229788 |
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 |
94864ct2 106722gu2 11858p2 1078m2 |
Quadratic twists by: -4 -3 -7 -11 |