Atkin-Lehner |
2- 5+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
103700b |
Isogeny class |
Conductor |
103700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
9648 |
Modular degree for the optimal curve |
Δ |
414800 = 24 · 52 · 17 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 5 -1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20,-15] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:1:1] [-1:2:1] |
Generators of the group modulo torsion |
j |
2211840/1037 |
j-invariant |
L |
10.756993240165 |
L(r)(E,1)/r! |
Ω |
2.3626707579519 |
Real period |
R |
1.5176318584162 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000481 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103700k1 |
Quadratic twists by: 5 |