Atkin-Lehner |
2+ 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66470l |
Isogeny class |
Conductor |
66470 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
479808 |
Modular degree for the optimal curve |
Δ |
-513415747657600 = -1 · 27 · 52 · 178 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 -1 6 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-63153,6199748] |
[a1,a2,a3,a4,a6] |
Generators |
[24:2155:1] |
Generators of the group modulo torsion |
j |
-3993046921/73600 |
j-invariant |
L |
2.4940697362412 |
L(r)(E,1)/r! |
Ω |
0.52260069924565 |
Real period |
R |
0.79540323980147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66470d1 |
Quadratic twists by: 17 |