Atkin-Lehner |
3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98397v |
Isogeny class |
Conductor |
98397 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-490431233341179 = -1 · 37 · 13 · 297 |
Discriminant |
Eigenvalues |
0 3- -1 -2 -4 13- 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-40368,3298612] |
[a1,a2,a3,a4,a6] |
Generators |
[116:-421:1] |
Generators of the group modulo torsion |
j |
-16777216/1131 |
j-invariant |
L |
2.5676816878289 |
L(r)(E,1)/r! |
Ω |
0.51543965833586 |
Real period |
R |
0.62269212119865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998996622 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32799c1 3393f1 |
Quadratic twists by: -3 29 |