Atkin-Lehner |
2- 3+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010ck |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
4128768 |
Modular degree for the optimal curve |
Δ |
261608110580250000 = 24 · 37 · 56 · 78 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9071665,-10520430145] |
[a1,a2,a3,a4,a6] |
Generators |
[28454:363069:8] |
Generators of the group modulo torsion |
j |
701772729016801413889/2223632250000 |
j-invariant |
L |
10.222370459775 |
L(r)(E,1)/r! |
Ω |
0.086991713622608 |
Real period |
R |
4.8962376582684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999599537 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430bg1 |
Quadratic twists by: -7 |