Atkin-Lehner |
2+ 7+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
105616b |
Isogeny class |
Conductor |
105616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-82241911808 = -1 · 210 · 7 · 234 · 41 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ -6 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1315,22962] |
[a1,a2,a3,a4,a6] |
Generators |
[3:138:1] [157:1920:1] |
Generators of the group modulo torsion |
j |
-245584534500/80314367 |
j-invariant |
L |
10.681877882645 |
L(r)(E,1)/r! |
Ω |
1.0214381186046 |
Real period |
R |
2.6144211985461 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001417 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52808g1 |
Quadratic twists by: -4 |