Atkin-Lehner |
3+ 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
72471i |
Isogeny class |
Conductor |
72471 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-69244964523063 = -1 · 35 · 76 · 174 · 29 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2474,-396521] |
[a1,a2,a3,a4,a6] |
Generators |
[510:1019:8] |
Generators of the group modulo torsion |
j |
14225260967/588572487 |
j-invariant |
L |
5.0141091884428 |
L(r)(E,1)/r! |
Ω |
0.29616300333522 |
Real period |
R |
4.2325587026973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994198 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1479d1 |
Quadratic twists by: -7 |