Atkin-Lehner |
3+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98553f |
Isogeny class |
Conductor |
98553 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
35136 |
Modular degree for the optimal curve |
Δ |
-747130293 = -1 · 32 · 72 · 13 · 194 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ -5 13- -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-188,-1726] |
[a1,a2,a3,a4,a6] |
Generators |
[36:-218:1] [174:479:8] |
Generators of the group modulo torsion |
j |
-5640625/5733 |
j-invariant |
L |
5.5698673489026 |
L(r)(E,1)/r! |
Ω |
0.61936084534878 |
Real period |
R |
0.74941064791098 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98553t1 |
Quadratic twists by: -19 |