Atkin-Lehner |
2- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25520q |
Isogeny class |
Conductor |
25520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-632406016000000 = -1 · 220 · 56 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 2 5- -2 11+ -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2200,-1210000] |
[a1,a2,a3,a4,a6] |
Generators |
[890:5055:8] |
Generators of the group modulo torsion |
j |
287365339799/154396000000 |
j-invariant |
L |
7.6133402705513 |
L(r)(E,1)/r! |
Ω |
0.23994837322998 |
Real period |
R |
5.288179402974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3190c1 102080bm1 127600t1 |
Quadratic twists by: -4 8 5 |