Atkin-Lehner |
2+ 3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
2370d |
Isogeny class |
Conductor |
2370 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-85197139200 = -1 · 28 · 33 · 52 · 793 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 3 -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-119,14042] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:124:1] |
Generators of the group modulo torsion |
j |
-184122897769/85197139200 |
j-invariant |
L |
2.6255030842552 |
L(r)(E,1)/r! |
Ω |
0.8742681030773 |
Real period |
R |
0.75077172408951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
18960g1 75840p1 7110v1 11850u1 |
Quadratic twists by: -4 8 -3 5 |