Atkin-Lehner |
7- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
26999m |
Isogeny class |
Conductor |
26999 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
473760 |
Modular degree for the optimal curve |
Δ |
2091594983499447461 = 710 · 192 · 295 |
Discriminant |
Eigenvalues |
-2 0 -1 7- 0 7 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-343343,33979552] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:7989:1] |
Generators of the group modulo torsion |
j |
15846301126656/7404524789 |
j-invariant |
L |
2.2949492324639 |
L(r)(E,1)/r! |
Ω |
0.23338381287374 |
Real period |
R |
0.98333693507075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26999e1 |
Quadratic twists by: -7 |