Atkin-Lehner |
2+ 3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
36630j |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
130320858690 = 2 · 37 · 5 · 115 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11+ -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-722505960,7475164580070] |
[a1,a2,a3,a4,a6] |
Generators |
[5207601:22218132:343] |
Generators of the group modulo torsion |
j |
57216394348828693207027666561/178766610 |
j-invariant |
L |
4.1383518747887 |
L(r)(E,1)/r! |
Ω |
0.21882137764899 |
Real period |
R |
9.4560045258144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12210y2 |
Quadratic twists by: -3 |