Atkin-Lehner |
2- 3+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
2370g |
Isogeny class |
Conductor |
2370 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
11880 |
Modular degree for the optimal curve |
Δ |
-479925000000000 = -1 · 29 · 35 · 511 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,16209,-686091] |
[a1,a2,a3,a4,a6] |
j |
470967245655003791/479925000000000 |
j-invariant |
L |
2.566427149405 |
L(r)(E,1)/r! |
Ω |
0.28515857215611 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18960r1 75840bf1 7110l1 11850o1 |
Quadratic twists by: -4 8 -3 5 |