Atkin-Lehner |
2- 3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
2370j |
Isogeny class |
Conductor |
2370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-94800 = -1 · 24 · 3 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 5 -5 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,0,-15] |
[a1,a2,a3,a4,a6] |
Generators |
[3:3:1] |
Generators of the group modulo torsion |
j |
-1/94800 |
j-invariant |
L |
3.9231557159985 |
L(r)(E,1)/r! |
Ω |
1.5491764247102 |
Real period |
R |
0.31655172172631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18960y1 75840y1 7110h1 11850p1 |
Quadratic twists by: -4 8 -3 5 |