Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41070z |
Isogeny class |
Conductor |
41070 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153216 |
Modular degree for the optimal curve |
Δ |
-14239781569950 = -1 · 2 · 3 · 52 · 377 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -3 5 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4820,220595] |
[a1,a2,a3,a4,a6] |
Generators |
[2414:39859:8] |
Generators of the group modulo torsion |
j |
-4826809/5550 |
j-invariant |
L |
9.5056328868973 |
L(r)(E,1)/r! |
Ω |
0.63794364539769 |
Real period |
R |
1.8625534080229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210bg1 1110b1 |
Quadratic twists by: -3 37 |