Atkin-Lehner |
2+ 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
68080g |
Isogeny class |
Conductor |
68080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
13253269760 = 28 · 5 · 234 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-767,6014] |
[a1,a2,a3,a4,a6] |
Generators |
[5:48:1] |
Generators of the group modulo torsion |
j |
194926030416/51770585 |
j-invariant |
L |
3.0075187116124 |
L(r)(E,1)/r! |
Ω |
1.1765002109008 |
Real period |
R |
2.5563265387118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989581 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34040g1 |
Quadratic twists by: -4 |