Atkin-Lehner |
2- 3- 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
108336u |
Isogeny class |
Conductor |
108336 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-140403456 = -1 · 28 · 35 · 37 · 61 |
Discriminant |
Eigenvalues |
2- 3- 1 4 5 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45,567] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:18:1] |
Generators of the group modulo torsion |
j |
-40247296/548451 |
j-invariant |
L |
11.588760563215 |
L(r)(E,1)/r! |
Ω |
1.5583941918978 |
Real period |
R |
0.7436347366148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016287 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27084a1 |
Quadratic twists by: -4 |