Atkin-Lehner |
2+ 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970x |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
-3.6212373071069E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3130394,-2151631924] |
[a1,a2,a3,a4,a6] |
Generators |
[1073628143247:-9100566958981:517781627] |
Generators of the group modulo torsion |
j |
-1914980734749238129/20440940544000 |
j-invariant |
L |
5.6227806923894 |
L(r)(E,1)/r! |
Ω |
0.056714425873301 |
Real period |
R |
16.523663966955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
570k1 |
Quadratic twists by: -11 |