Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
70560ct |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-10758502218240 = -1 · 29 · 36 · 5 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 -1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7203,-283318] |
[a1,a2,a3,a4,a6] |
Generators |
[1078:35280:1] |
Generators of the group modulo torsion |
j |
-19208/5 |
j-invariant |
L |
5.1161354319774 |
L(r)(E,1)/r! |
Ω |
0.25562936421163 |
Real period |
R |
3.3356466745851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70560s1 7840g1 70560eb1 |
Quadratic twists by: -4 -3 -7 |