Atkin-Lehner |
3- 5- 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
63135l |
Isogeny class |
Conductor |
63135 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
250880 |
Modular degree for the optimal curve |
Δ |
-7155443421675 = -1 · 36 · 52 · 235 · 61 |
Discriminant |
Eigenvalues |
-2 3- 5- -5 3 1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,4473,-57490] |
[a1,a2,a3,a4,a6] |
Generators |
[48:-518:1] |
Generators of the group modulo torsion |
j |
13576658006016/9815423075 |
j-invariant |
L |
2.5140344857657 |
L(r)(E,1)/r! |
Ω |
0.41888739180995 |
Real period |
R |
0.15004238217772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7015a1 |
Quadratic twists by: -3 |