Atkin-Lehner |
2- 3+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36630v |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
79233473184030000 = 24 · 33 · 54 · 118 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-126143,10706231] |
[a1,a2,a3,a4,a6] |
j |
8221407719957471187/2934573080890000 |
j-invariant |
L |
5.0317399469635 |
L(r)(E,1)/r! |
Ω |
0.3144837466857 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36630g2 |
Quadratic twists by: -3 |