Atkin-Lehner |
2+ 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720y |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-971520 = -1 · 28 · 3 · 5 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -1 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41,99] |
[a1,a2,a3,a4,a6] |
j |
-30505984/3795 |
j-invariant |
L |
2.7015997837724 |
L(r)(E,1)/r! |
Ω |
2.7015997835832 |
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 |
30360t1 |
Quadratic twists by: -4 |