Atkin-Lehner |
2+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97216p |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-3734649856 = -1 · 210 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ 0 1 7- -6 -4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3332,74088] |
[a1,a2,a3,a4,a6] |
Generators |
[29:43:1] |
Generators of the group modulo torsion |
j |
-33958656/31 |
j-invariant |
L |
4.0707033555518 |
L(r)(E,1)/r! |
Ω |
1.3907975649574 |
Real period |
R |
2.9268841488105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97216bk1 6076b1 1984a1 |
Quadratic twists by: -4 8 -7 |