Atkin-Lehner |
3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25215h |
Isogeny class |
Conductor |
25215 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
-71251563615 = -1 · 3 · 5 · 416 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35,12840] |
[a1,a2,a3,a4,a6] |
Generators |
[849243:-9904977:6859] |
Generators of the group modulo torsion |
j |
-1/15 |
j-invariant |
L |
4.7353436103177 |
L(r)(E,1)/r! |
Ω |
0.87494978413484 |
Real period |
R |
10.824263737604 |
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 |
75645g1 126075c1 15a8 |
Quadratic twists by: -3 5 41 |