Atkin-Lehner |
2+ 5- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99710m |
Isogeny class |
Conductor |
99710 |
Conductor |
∏ cp |
102 |
Product of Tamagawa factors cp |
deg |
48796800 |
Modular degree for the optimal curve |
Δ |
-6.9325162104517E+25 |
Discriminant |
Eigenvalues |
2+ -2 5- -5 3 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,100726362,-95254299112] |
[a1,a2,a3,a4,a6] |
Generators |
[1704:284335:1] [14474:2089180:1] |
Generators of the group modulo torsion |
j |
138549941095333832519/84985351562500000 |
j-invariant |
L |
5.6593980460812 |
L(r)(E,1)/r! |
Ω |
0.035694200493064 |
Real period |
R |
1.5544344403583 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99710z1 |
Quadratic twists by: 13 |