Atkin-Lehner |
2- 3+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
106782o |
Isogeny class |
Conductor |
106782 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
Δ |
173326273496064 = 210 · 32 · 135 · 373 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-287389,59176691] |
[a1,a2,a3,a4,a6] |
Generators |
[263:1236:1] [-577:6060:1] |
Generators of the group modulo torsion |
j |
51823776538678789/3421836288 |
j-invariant |
L |
12.371056697083 |
L(r)(E,1)/r! |
Ω |
0.54257406049354 |
Real period |
R |
0.45601356927493 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106782c3 |
Quadratic twists by: 37 |