Atkin-Lehner |
2- 3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
37488y |
Isogeny class |
Conductor |
37488 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-13041788453388288 = -1 · 236 · 35 · 11 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,41416,4448340] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:1638:1] |
Generators of the group modulo torsion |
j |
1918040326417223/3184030384128 |
j-invariant |
L |
5.7968433283884 |
L(r)(E,1)/r! |
Ω |
0.27248775552162 |
Real period |
R |
4.2547550933372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4686a1 112464bo1 |
Quadratic twists by: -4 -3 |