Atkin-Lehner |
2+ 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720n |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
10686720 = 28 · 3 · 5 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- -4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-100,-320] |
[a1,a2,a3,a4,a6] |
Generators |
[12:8:1] [21:80:1] |
Generators of the group modulo torsion |
j |
436334416/41745 |
j-invariant |
L |
8.3443852413213 |
L(r)(E,1)/r! |
Ω |
1.5177409124553 |
Real period |
R |
5.4978983388033 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30360bg1 |
Quadratic twists by: -4 |