Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020bx |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
6773760 |
Modular degree for the optimal curve |
Δ |
-7.2231931751522E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-223293,-12930784783] |
[a1,a2,a3,a4,a6] |
Generators |
[8244376:1277330571:343] |
Generators of the group modulo torsion |
j |
-373698304/21923067375 |
j-invariant |
L |
6.6500888976217 |
L(r)(E,1)/r! |
Ω |
0.049921366149335 |
Real period |
R |
9.5150911508642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32340o1 97020cg1 |
Quadratic twists by: -3 -7 |