Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200hh |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
8559323136000000000 = 220 · 38 · 59 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3479208,-2495054412] |
[a1,a2,a3,a4,a6] |
j |
582203792000501/1069915392 |
j-invariant |
L |
3.5377515326051 |
L(r)(E,1)/r! |
Ω |
0.11055474518354 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650o1 109200ef1 |
Quadratic twists by: -4 5 |