Atkin-Lehner |
2- 3+ 5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850bv |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-2218324218750 = -1 · 2 · 36 · 59 · 19 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 3 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5188,158531] |
[a1,a2,a3,a4,a6] |
Generators |
[70:2661:8] |
Generators of the group modulo torsion |
j |
-988345570681/141972750 |
j-invariant |
L |
7.590041924119 |
L(r)(E,1)/r! |
Ω |
0.79464842825064 |
Real period |
R |
2.387861615522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23370h1 |
Quadratic twists by: 5 |