Atkin-Lehner |
3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
98397u |
Isogeny class |
Conductor |
98397 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2204160 |
Modular degree for the optimal curve |
Δ |
-190570207813947 = -1 · 313 · 132 · 294 |
Discriminant |
Eigenvalues |
-2 3- 0 5 4 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1501185,-707945180] |
[a1,a2,a3,a4,a6] |
Generators |
[89530:26786254:1] |
Generators of the group modulo torsion |
j |
-725615984128000/369603 |
j-invariant |
L |
4.5768003212705 |
L(r)(E,1)/r! |
Ω |
0.068196328122638 |
Real period |
R |
8.3890153062241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949262 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32799b1 98397s1 |
Quadratic twists by: -3 29 |