Atkin-Lehner |
3+ 11- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
84249b |
Isogeny class |
Conductor |
84249 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-156798931113 = -1 · 39 · 11 · 232 · 372 |
Discriminant |
Eigenvalues |
-1 3+ 0 0 11- -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1105,-13040] |
[a1,a2,a3,a4,a6] |
Generators |
[11:13:1] [20:119:1] |
Generators of the group modulo torsion |
j |
7587307125/7966211 |
j-invariant |
L |
7.081993229391 |
L(r)(E,1)/r! |
Ω |
0.55535127077593 |
Real period |
R |
6.3761384928555 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84249a2 |
Quadratic twists by: -3 |