Atkin-Lehner |
2+ 7+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
97552a |
Isogeny class |
Conductor |
97552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
919680 |
Modular degree for the optimal curve |
Δ |
-42577995957812224 = -1 · 210 · 710 · 133 · 67 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ -4 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4248,9925760] |
[a1,a2,a3,a4,a6] |
Generators |
[-30637692708:-783863939060:275894451] |
Generators of the group modulo torsion |
j |
8277039745628/41580074177551 |
j-invariant |
L |
10.103470039653 |
L(r)(E,1)/r! |
Ω |
0.28423092890348 |
Real period |
R |
17.7733472909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48776d1 |
Quadratic twists by: -4 |