Atkin-Lehner |
2+ 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
112554j |
Isogeny class |
Conductor |
112554 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1916928 |
Modular degree for the optimal curve |
Δ |
-1154877966263632104 = -1 · 23 · 314 · 138 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 3 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-420588,117132952] |
[a1,a2,a3,a4,a6] |
Generators |
[38545:491392:125] |
Generators of the group modulo torsion |
j |
-13836319393/1942056 |
j-invariant |
L |
6.5082847252656 |
L(r)(E,1)/r! |
Ω |
0.26549471293745 |
Real period |
R |
6.1284503574141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000079427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37518p1 112554w1 |
Quadratic twists by: -3 13 |