Atkin-Lehner |
2- 3+ 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
13764a |
Isogeny class |
Conductor |
13764 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1632 |
Modular degree for the optimal curve |
Δ |
-1486512 = -1 · 24 · 34 · 31 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 1 2 -3 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37,118] |
[a1,a2,a3,a4,a6] |
Generators |
[1:9:1] |
Generators of the group modulo torsion |
j |
-359661568/92907 |
j-invariant |
L |
4.6916856359214 |
L(r)(E,1)/r! |
Ω |
2.5560946818124 |
Real period |
R |
0.30591496142563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55056w1 41292d1 |
Quadratic twists by: -4 -3 |