Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31740i |
Isogeny class |
Conductor |
31740 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-3177110721104640 = -1 · 28 · 36 · 5 · 237 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,31035,1720935] |
[a1,a2,a3,a4,a6] |
Generators |
[153:3174:1] |
Generators of the group modulo torsion |
j |
87228416/83835 |
j-invariant |
L |
7.6697176178056 |
L(r)(E,1)/r! |
Ω |
0.29443877190823 |
Real period |
R |
0.72357220560649 |
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 |
126960bt1 95220i1 1380c1 |
Quadratic twists by: -4 -3 -23 |