Atkin-Lehner |
3+ 7+ 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
65331b |
Isogeny class |
Conductor |
65331 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-41292001233 = -1 · 39 · 7 · 173 · 61 |
Discriminant |
Eigenvalues |
1 3+ 0 7+ -5 -2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-338892,76019453] |
[a1,a2,a3,a4,a6] |
Generators |
[292:1231:1] |
Generators of the group modulo torsion |
j |
-218684041285921875/2097851 |
j-invariant |
L |
5.0300085332517 |
L(r)(E,1)/r! |
Ω |
0.79895887796907 |
Real period |
R |
1.049283985176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000893 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65331a1 |
Quadratic twists by: -3 |