Atkin-Lehner |
3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98397x |
Isogeny class |
Conductor |
98397 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
163477077780393 = 36 · 13 · 297 |
Discriminant |
Eigenvalues |
1 3- 2 0 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-61971,-5890456] |
[a1,a2,a3,a4,a6] |
Generators |
[34185289167563976:1231444639486676692:24726100295637] |
Generators of the group modulo torsion |
j |
60698457/377 |
j-invariant |
L |
8.4422206794125 |
L(r)(E,1)/r! |
Ω |
0.30270150846749 |
Real period |
R |
27.889588986793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026737 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10933a1 3393g1 |
Quadratic twists by: -3 29 |