Atkin-Lehner |
2+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
21538b |
Isogeny class |
Conductor |
21538 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
305247046544 = 24 · 118 · 89 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27308,-1729920] |
[a1,a2,a3,a4,a6] |
Generators |
[2060:92140:1] |
Generators of the group modulo torsion |
j |
1271294679537/172304 |
j-invariant |
L |
2.5147751268653 |
L(r)(E,1)/r! |
Ω |
0.3713897108403 |
Real period |
R |
3.3856284294675 |
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 |
1958a1 |
Quadratic twists by: -11 |