Atkin-Lehner |
5- 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
99715j |
Isogeny class |
Conductor |
99715 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
1645983040625 = 55 · 76 · 112 · 37 |
Discriminant |
Eigenvalues |
1 0 5- 7- 11+ -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117854,15602103] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3919:1] [1486:1707:8] |
Generators of the group modulo torsion |
j |
1538758717863849/13990625 |
j-invariant |
L |
13.371467223686 |
L(r)(E,1)/r! |
Ω |
0.75932424672704 |
Real period |
R |
3.521938692396 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2035a1 |
Quadratic twists by: -7 |