Atkin-Lehner |
2+ 3- 5+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
65790u |
Isogeny class |
Conductor |
65790 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
94208 |
Modular degree for the optimal curve |
Δ |
271778490000 = 24 · 37 · 54 · 172 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7290,-236444] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:58:1] |
Generators of the group modulo torsion |
j |
58777658151841/372810000 |
j-invariant |
L |
2.6421897804724 |
L(r)(E,1)/r! |
Ω |
0.5168694030132 |
Real period |
R |
1.2779774566596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000456 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21930bb1 |
Quadratic twists by: -3 |