Atkin-Lehner |
2- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
1420a |
Isogeny class |
Conductor |
1420 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
276 |
Modular degree for the optimal curve |
Δ |
403280 = 24 · 5 · 712 |
Discriminant |
Eigenvalues |
2- 2 5- -4 -4 -4 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25,-30] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:3:1] |
Generators of the group modulo torsion |
j |
112377856/25205 |
j-invariant |
L |
3.3666704857611 |
L(r)(E,1)/r! |
Ω |
2.1621727971348 |
Real period |
R |
1.0380516272713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5680l1 22720d1 12780c1 7100a1 |
Quadratic twists by: -4 8 -3 5 |