Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123627r |
Isogeny class |
Conductor |
123627 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
-4408763240216727 = -1 · 32 · 77 · 296 |
Discriminant |
Eigenvalues |
1 3- 2 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,40350,690799] |
[a1,a2,a3,a4,a6] |
Generators |
[4918:126015:8] |
Generators of the group modulo torsion |
j |
103823/63 |
j-invariant |
L |
10.715496561139 |
L(r)(E,1)/r! |
Ω |
0.2682503772033 |
Real period |
R |
4.993234597495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17661a1 147a1 |
Quadratic twists by: -7 29 |