Atkin-Lehner |
2+ 3- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15318f |
Isogeny class |
Conductor |
15318 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
-253205634154752 = -1 · 28 · 319 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 4 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2763,-764235] |
[a1,a2,a3,a4,a6] |
Generators |
[645:16080:1] |
Generators of the group modulo torsion |
j |
3199266515375/347332831488 |
j-invariant |
L |
3.9595066810937 |
L(r)(E,1)/r! |
Ω |
0.26253408422782 |
Real period |
R |
1.8852345842729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122544w1 5106e1 |
Quadratic twists by: -4 -3 |