Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800fn |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
6 |
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] |
j |
-551149496796160/192913083 |
j-invariant |
L |
0.33939169863159 |
L(r)(E,1)/r! |
Ω |
0.056565283387952 |
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 |
52800dk1 13200bc1 52800gw1 |
Quadratic twists by: -4 8 5 |