Atkin-Lehner |
2+ 3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550g |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
165078860625000 = 23 · 312 · 57 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 3 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29400,1827000] |
[a1,a2,a3,a4,a6] |
Generators |
[69:330:1] |
Generators of the group modulo torsion |
j |
179874151486849/10565047080 |
j-invariant |
L |
3.2034180591442 |
L(r)(E,1)/r! |
Ω |
0.56475554253784 |
Real period |
R |
1.4180551669367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954314 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910be1 |
Quadratic twists by: 5 |