Atkin-Lehner |
2- 7+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
97552f |
Isogeny class |
Conductor |
97552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-49946624 = -1 · 213 · 7 · 13 · 67 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 0 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93464,-10966928] |
[a1,a2,a3,a4,a6] |
Generators |
[86576324:670645448:226981] |
Generators of the group modulo torsion |
j |
-22044563397858457/12194 |
j-invariant |
L |
7.0914822038747 |
L(r)(E,1)/r! |
Ω |
0.1365237097611 |
Real period |
R |
12.98580708766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999611896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12194d1 |
Quadratic twists by: -4 |