Atkin-Lehner |
3+ 5+ 43- 61- |
Signs for the Atkin-Lehner involutions |
Class |
39345a |
Isogeny class |
Conductor |
39345 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-79103045654296875 = -1 · 34 · 514 · 43 · 612 |
Discriminant |
Eigenvalues |
0 3+ 5+ 0 -3 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-84371,-16466923] |
[a1,a2,a3,a4,a6] |
Generators |
[1186757:21444214:2197] |
Generators of the group modulo torsion |
j |
-66421464856352948224/79103045654296875 |
j-invariant |
L |
3.1471316428511 |
L(r)(E,1)/r! |
Ω |
0.13394686462337 |
Real period |
R |
2.9369217149103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118035b1 |
Quadratic twists by: -3 |