Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656bd |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
282624 |
Modular degree for the optimal curve |
Δ |
-117653324544 = -1 · 28 · 32 · 73 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -3 -4 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28569,1849203] |
[a1,a2,a3,a4,a6] |
Generators |
[86:189:1] |
Generators of the group modulo torsion |
j |
-29369053164544/1339893 |
j-invariant |
L |
10.723304626535 |
L(r)(E,1)/r! |
Ω |
0.98788091806891 |
Real period |
R |
2.7137138978215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999249388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62328bc1 124656k1 |
Quadratic twists by: -4 -7 |