Atkin-Lehner |
2+ 3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720r |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-82954509834240 = -1 · 211 · 37 · 5 · 115 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 0 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7976,514260] |
[a1,a2,a3,a4,a6] |
Generators |
[274:4356:1] |
Generators of the group modulo torsion |
j |
-27403349188178/40505131755 |
j-invariant |
L |
6.0735448959598 |
L(r)(E,1)/r! |
Ω |
0.54631729908252 |
Real period |
R |
0.079408914221286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000489 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30360d1 |
Quadratic twists by: -4 |