Atkin-Lehner |
2+ 3+ 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40698c |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
82560 |
Modular degree for the optimal curve |
Δ |
-9493791478794 = -1 · 2 · 33 · 73 · 175 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ -5 3 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,840,-148158] |
[a1,a2,a3,a4,a6] |
Generators |
[462:2175:8] [69:450:1] |
Generators of the group modulo torsion |
j |
2426090244453/351621906622 |
j-invariant |
L |
6.2612520650046 |
L(r)(E,1)/r! |
Ω |
0.34411670734778 |
Real period |
R |
0.90975705789777 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40698w1 |
Quadratic twists by: -3 |