Atkin-Lehner |
2+ 3- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
78498m |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
43608228806016 = 27 · 313 · 74 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 0 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18090,885492] |
[a1,a2,a3,a4,a6] |
Generators |
[9:846:1] |
Generators of the group modulo torsion |
j |
374053074241/24914304 |
j-invariant |
L |
3.9210498699599 |
L(r)(E,1)/r! |
Ω |
0.62929402447841 |
Real period |
R |
0.51923924763835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000505 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26166t1 78498p1 |
Quadratic twists by: -3 -7 |