Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800dk |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
998400 |
Modular degree for the optimal curve |
Δ |
-1234643731200000000 = -1 · 214 · 313 · 58 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 11+ 1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3171333,2173356963] |
[a1,a2,a3,a4,a6] |
Generators |
[1158:7425:1] |
Generators of the group modulo torsion |
j |
-551149496796160/192913083 |
j-invariant |
L |
8.2711363787848 |
L(r)(E,1)/r! |
Ω |
0.26765829337546 |
Real period |
R |
0.39617756149801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800fn1 6600y1 52800i1 |
Quadratic twists by: -4 8 5 |