Atkin-Lehner |
2- 3- 11- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
35178t |
Isogeny class |
Conductor |
35178 |
Conductor |
∏ cp |
1680 |
Product of Tamagawa factors cp |
deg |
3171840 |
Modular degree for the optimal curve |
Δ |
-1.9779703499821E+21 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11- 13+ 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5744202,5714228196] |
[a1,a2,a3,a4,a6] |
Generators |
[39822:7912728:1] |
Generators of the group modulo torsion |
j |
-20961040081180242099475873/1977970349982125543616 |
j-invariant |
L |
8.627953586415 |
L(r)(E,1)/r! |
Ω |
0.14410791302164 |
Real period |
R |
0.035637783872487 |
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 |
105534h1 |
Quadratic twists by: -3 |