Atkin-Lehner |
2- 7- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
111034h |
Isogeny class |
Conductor |
111034 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-170737682747871008 = -1 · 25 · 79 · 112 · 1033 |
Discriminant |
Eigenvalues |
2- -1 0 7- 11- 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-45108813,116592392419] |
[a1,a2,a3,a4,a6] |
Generators |
[3947:-9520:1] [251:324352:1] |
Generators of the group modulo torsion |
j |
-86281894050440263890625/1451246357792 |
j-invariant |
L |
14.594804625955 |
L(r)(E,1)/r! |
Ω |
0.2300139586507 |
Real period |
R |
1.5862955353526 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992457 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15862e2 |
Quadratic twists by: -7 |