Atkin-Lehner |
2- 3+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
47472c |
Isogeny class |
Conductor |
47472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-83173222656 = -1 · 28 · 33 · 234 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 -3 -1 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1380,24588] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:184:1] |
Generators of the group modulo torsion |
j |
-1136150003536/324895401 |
j-invariant |
L |
6.0923667383502 |
L(r)(E,1)/r! |
Ω |
1.0247002598078 |
Real period |
R |
1.4863777675589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11868c1 |
Quadratic twists by: -4 |