Atkin-Lehner |
3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36309l |
Isogeny class |
Conductor |
36309 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
411840 |
Modular degree for the optimal curve |
Δ |
-147025411802679501 = -1 · 311 · 76 · 135 · 19 |
Discriminant |
Eigenvalues |
1 3+ -3 7- 0 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-256099,53079286] |
[a1,a2,a3,a4,a6] |
j |
-15789259762088617/1249695380349 |
j-invariant |
L |
1.5971990774588 |
L(r)(E,1)/r! |
Ω |
0.31943981549411 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108927bd1 741c1 |
Quadratic twists by: -3 -7 |