Atkin-Lehner |
2+ 3+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
31974a |
Isogeny class |
Conductor |
31974 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
170496 |
Modular degree for the optimal curve |
Δ |
1590825386749968 = 24 · 32 · 737 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 -4 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29420,-312576] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:528:1] |
Generators of the group modulo torsion |
j |
18609625/10512 |
j-invariant |
L |
3.511224793329 |
L(r)(E,1)/r! |
Ω |
0.3928501329208 |
Real period |
R |
4.4689112960498 |
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 |
95922f1 438c1 |
Quadratic twists by: -3 73 |