Atkin-Lehner |
2- 3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
60270bc |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-5146150227724800 = -1 · 29 · 35 · 52 · 79 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -5 6 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27490,-3883153] |
[a1,a2,a3,a4,a6] |
Generators |
[265:2611:1] |
Generators of the group modulo torsion |
j |
-56933326423/127526400 |
j-invariant |
L |
9.2768174978772 |
L(r)(E,1)/r! |
Ω |
0.17343620164189 |
Real period |
R |
1.4857876988101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000511 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60270bl1 |
Quadratic twists by: -7 |