Atkin-Lehner |
3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52635v |
Isogeny class |
Conductor |
52635 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
2311887105 = 32 · 5 · 116 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3330,-74205] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:21:1] [1991:87812:1] |
Generators of the group modulo torsion |
j |
2305199161/1305 |
j-invariant |
L |
6.9477432059512 |
L(r)(E,1)/r! |
Ω |
0.62849608085354 |
Real period |
R |
11.054552952052 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
435c1 |
Quadratic twists by: -11 |