Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
52900g |
Isogeny class |
Conductor |
52900 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
463680 |
Modular degree for the optimal curve |
Δ |
-313243941124000000 = -1 · 28 · 56 · 238 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -4 -1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-304175,-69960250] |
[a1,a2,a3,a4,a6] |
Generators |
[4086240398:106335586579:3944312] |
Generators of the group modulo torsion |
j |
-9936 |
j-invariant |
L |
3.9900983203919 |
L(r)(E,1)/r! |
Ω |
0.10106919864138 |
Real period |
R |
13.159625200618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2116a1 52900e1 |
Quadratic twists by: 5 -23 |