Atkin-Lehner |
2+ 3- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
98136c |
Isogeny class |
Conductor |
98136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
132096 |
Modular degree for the optimal curve |
Δ |
-9157266432 = -1 · 210 · 38 · 29 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 4 3 -5 -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1083,14470] |
[a1,a2,a3,a4,a6] |
Generators |
[15:40:1] |
Generators of the group modulo torsion |
j |
-188183524/12267 |
j-invariant |
L |
10.461796188264 |
L(r)(E,1)/r! |
Ω |
1.2779782970338 |
Real period |
R |
2.0465520066192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32712f1 |
Quadratic twists by: -3 |