Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
34320bs |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-1.06562117376E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16123856,24964266900] |
[a1,a2,a3,a4,a6] |
Generators |
[1612:56250:1] |
Generators of the group modulo torsion |
j |
-113180217375258301213009/260161419375000000 |
j-invariant |
L |
5.6031004009653 |
L(r)(E,1)/r! |
Ω |
0.15567940646212 |
Real period |
R |
1.2854026948938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290s1 102960em1 |
Quadratic twists by: -4 -3 |