Atkin-Lehner |
2+ 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97608c |
Isogeny class |
Conductor |
97608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-265760620272 = -1 · 24 · 35 · 77 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -2 -1 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,768,23157] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:147:1] [26:245:1] |
Generators of the group modulo torsion |
j |
26578688/141183 |
j-invariant |
L |
10.920353281893 |
L(r)(E,1)/r! |
Ω |
0.70672520210917 |
Real period |
R |
1.9315062717525 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13944g1 |
Quadratic twists by: -7 |