Atkin-Lehner |
3+ 7+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
64239b |
Isogeny class |
Conductor |
64239 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-971513763006717 = -1 · 36 · 78 · 19 · 233 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ -5 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1322,-1498960] |
[a1,a2,a3,a4,a6] |
Generators |
[118:504:1] |
Generators of the group modulo torsion |
j |
44321375/168525117 |
j-invariant |
L |
2.5785227043221 |
L(r)(E,1)/r! |
Ω |
0.22935286050442 |
Real period |
R |
0.62458894571389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000859 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64239l1 |
Quadratic twists by: -7 |