Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350bt |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-507000 = -1 · 23 · 3 · 53 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -5 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-56,158] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] |
Generators of the group modulo torsion |
j |
-895973/24 |
j-invariant |
L |
5.2033087598481 |
L(r)(E,1)/r! |
Ω |
2.9312766715919 |
Real period |
R |
0.88754992155385 |
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 |
76050gb1 25350cl1 25350dn1 |
Quadratic twists by: -3 5 13 |