Atkin-Lehner |
2- 3+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
61008k |
Isogeny class |
Conductor |
61008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-327854063616 = -1 · 221 · 3 · 31 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 -3 -3 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,648,-27024] |
[a1,a2,a3,a4,a6] |
Generators |
[26:82:1] [92:896:1] |
Generators of the group modulo torsion |
j |
7335308807/80042496 |
j-invariant |
L |
6.4337437289641 |
L(r)(E,1)/r! |
Ω |
0.47456542336311 |
Real period |
R |
1.694640878852 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7626d1 |
Quadratic twists by: -4 |