Atkin-Lehner |
2- 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720cv |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-327721520332800 = -1 · 217 · 33 · 52 · 115 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11+ -7 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-147320,-21830700] |
[a1,a2,a3,a4,a6] |
Generators |
[580:9390:1] |
Generators of the group modulo torsion |
j |
-86328032428786681/80010136800 |
j-invariant |
L |
6.5160442446832 |
L(r)(E,1)/r! |
Ω |
0.12183715500307 |
Real period |
R |
4.4567988070736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996685 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7590f1 |
Quadratic twists by: -4 |