Atkin-Lehner |
2+ 3- 7+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642s |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
104606002040537088 = 224 · 39 · 7 · 13 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1615941,-790096811] |
[a1,a2,a3,a4,a6] |
Generators |
[-779628972395075:126911621304331:1053424109375] |
Generators of the group modulo torsion |
j |
640136860103201072977/143492458217472 |
j-invariant |
L |
6.0562402963295 |
L(r)(E,1)/r! |
Ω |
0.13390568298338 |
Real period |
R |
22.613828511019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999885337 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32214u1 |
Quadratic twists by: -3 |