Atkin-Lehner |
2+ 3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
2370d |
Isogeny class |
Conductor |
2370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-62128128000000 = -1 · 224 · 3 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 3 -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1066,-378904] |
[a1,a2,a3,a4,a6] |
Generators |
[19191:502391:27] |
Generators of the group modulo torsion |
j |
134146961560871/62128128000000 |
j-invariant |
L |
2.6255030842552 |
L(r)(E,1)/r! |
Ω |
0.29142270102577 |
Real period |
R |
2.2523151722685 |
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 |
18960g2 75840p2 7110v2 11850u2 |
Quadratic twists by: -4 8 -3 5 |