Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
102240q |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
-5962636800000 = -1 · 212 · 38 · 55 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 2 -1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5288232,-4680732944] |
[a1,a2,a3,a4,a6] |
Generators |
[192612:84526700:1] |
Generators of the group modulo torsion |
j |
-5477315219811126784/1996875 |
j-invariant |
L |
9.1634840633951 |
L(r)(E,1)/r! |
Ω |
0.049778514715661 |
Real period |
R |
9.2042562151659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102240by1 34080be1 |
Quadratic twists by: -4 -3 |