Atkin-Lehner |
3- 5+ 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118755c |
Isogeny class |
Conductor |
118755 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
655360 |
Modular degree for the optimal curve |
Δ |
-12008119364681895 = -1 · 322 · 5 · 7 · 13 · 292 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,52065,2611440] |
[a1,a2,a3,a4,a6] |
Generators |
[-18832:1830408:1331] |
Generators of the group modulo torsion |
j |
21410613411117839/16472043024255 |
j-invariant |
L |
5.3181242053118 |
L(r)(E,1)/r! |
Ω |
0.25740225153985 |
Real period |
R |
10.330376103526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000129199 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39585k1 |
Quadratic twists by: -3 |