Atkin-Lehner |
3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37485n |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-4.1092227001183E+20 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -4 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13159817,18403965934] |
[a1,a2,a3,a4,a6] |
Generators |
[1952:-13259:1] |
Generators of the group modulo torsion |
j |
-231327416180313909/377149515625 |
j-invariant |
L |
2.7818426641196 |
L(r)(E,1)/r! |
Ω |
0.16812294567267 |
Real period |
R |
1.3788731876092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37485d2 37485h2 |
Quadratic twists by: -3 -7 |