Atkin-Lehner |
2+ 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210l |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
29410560 |
Modular degree for the optimal curve |
Δ |
-1.5173911240939E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -6 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-261872844,1631178651600] |
[a1,a2,a3,a4,a6] |
j |
-20941970847735483/16000000 |
j-invariant |
L |
1.0031127824049 |
L(r)(E,1)/r! |
Ω |
0.12538911177423 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
123210ca2 123210cb1 |
Quadratic twists by: -3 37 |