Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
70080v |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-80732160000000 = -1 · 219 · 33 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 2 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9439,-246465] |
[a1,a2,a3,a4,a6] |
Generators |
[34:339:1] |
Generators of the group modulo torsion |
j |
354744554039/307968750 |
j-invariant |
L |
8.0346676804712 |
L(r)(E,1)/r! |
Ω |
0.33542074090622 |
Real period |
R |
3.9923329621408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70080bm1 2190b1 |
Quadratic twists by: -4 8 |