Atkin-Lehner |
3+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37191a |
Isogeny class |
Conductor |
37191 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-16005258423 = -1 · 36 · 73 · 112 · 232 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11+ -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-484,-7540] |
[a1,a2,a3,a4,a6] |
Generators |
[238:471:8] [50:-336:1] |
Generators of the group modulo torsion |
j |
-36561310759/46662561 |
j-invariant |
L |
4.2852096172048 |
L(r)(E,1)/r! |
Ω |
0.48566584647454 |
Real period |
R |
2.2058425810211 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111573bo1 37191e1 |
Quadratic twists by: -3 -7 |