Atkin-Lehner |
2- 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720cm |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-9521867520 = -1 · 28 · 35 · 5 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-461,5895] |
[a1,a2,a3,a4,a6] |
Generators |
[19:66:1] |
Generators of the group modulo torsion |
j |
-42415857664/37194795 |
j-invariant |
L |
5.4756016604669 |
L(r)(E,1)/r! |
Ω |
1.1837206333052 |
Real period |
R |
0.154191833956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000439 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15180a1 |
Quadratic twists by: -4 |