Atkin-Lehner |
2- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80600z |
Isogeny class |
Conductor |
80600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-67562144000000 = -1 · 211 · 56 · 133 · 312 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 4 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29008,1952012] |
[a1,a2,a3,a4,a6] |
Generators |
[181:1612:1] |
Generators of the group modulo torsion |
j |
-84361067282/2111317 |
j-invariant |
L |
6.3618672210782 |
L(r)(E,1)/r! |
Ω |
0.61705105464731 |
Real period |
R |
1.7183524696604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3224a1 |
Quadratic twists by: 5 |