Atkin-Lehner |
2+ 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150d |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-25091208900468750 = -1 · 2 · 3 · 57 · 134 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-116500,-17146250] |
[a1,a2,a3,a4,a6] |
Generators |
[22398:1164899:8] |
Generators of the group modulo torsion |
j |
-11191473918930241/1605837369630 |
j-invariant |
L |
4.8163295792832 |
L(r)(E,1)/r! |
Ω |
0.12818826171342 |
Real period |
R |
9.3930784219762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980884 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430br4 |
Quadratic twists by: 5 |