Atkin-Lehner |
2- 3+ 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
70380g |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
4706321114772000000 = 28 · 39 · 56 · 173 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 0 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8465688,-9480149388] |
[a1,a2,a3,a4,a6] |
Generators |
[-4587618:1383885:2744] |
Generators of the group modulo torsion |
j |
13316166915649855488/934007359375 |
j-invariant |
L |
8.0016562663855 |
L(r)(E,1)/r! |
Ω |
0.088508670621635 |
Real period |
R |
7.5337781500334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000715 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70380o1 |
Quadratic twists by: -3 |