Atkin-Lehner |
2+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600bi |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-15990784000 = -1 · 221 · 53 · 61 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 -2 5 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,127,6017] |
[a1,a2,a3,a4,a6] |
Generators |
[97:960:1] |
Generators of the group modulo torsion |
j |
6859/488 |
j-invariant |
L |
9.7650872707181 |
L(r)(E,1)/r! |
Ω |
0.94621223888764 |
Real period |
R |
1.2900233756752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97600cv1 3050l1 97600bm1 |
Quadratic twists by: -4 8 5 |