Atkin-Lehner |
5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
34225g |
Isogeny class |
Conductor |
34225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
1483310580203125 = 56 · 377 |
Discriminant |
Eigenvalues |
-2 3 5+ 1 -5 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-34225,1582906] |
[a1,a2,a3,a4,a6] |
Generators |
[4440:17099:27] |
Generators of the group modulo torsion |
j |
110592/37 |
j-invariant |
L |
4.9163179113939 |
L(r)(E,1)/r! |
Ω |
0.44016691346857 |
Real period |
R |
1.396151596406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1369d1 925e1 |
Quadratic twists by: 5 37 |