Atkin-Lehner |
2- 3- 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
120780i |
Isogeny class |
Conductor |
120780 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-1139113172498400000 = -1 · 28 · 313 · 55 · 114 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ 0 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-230088,-66644012] |
[a1,a2,a3,a4,a6] |
Generators |
[2856712:212554287:512] |
Generators of the group modulo torsion |
j |
-7218353152024576/6103787146875 |
j-invariant |
L |
6.2463672011539 |
L(r)(E,1)/r! |
Ω |
0.10523710438497 |
Real period |
R |
7.4193974361795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999702792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40260l1 |
Quadratic twists by: -3 |