Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
36414o |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
-709076926520244576 = -1 · 25 · 33 · 76 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -3 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,220164,-7825104] |
[a1,a2,a3,a4,a6] |
Generators |
[1158:41037:8] |
Generators of the group modulo torsion |
j |
6266230821/3764768 |
j-invariant |
L |
2.2262906626785 |
L(r)(E,1)/r! |
Ω |
0.16638769084525 |
Real period |
R |
3.3450350975015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
36414ce2 36414e1 |
Quadratic twists by: -3 17 |