Atkin-Lehner |
3- 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
85701x |
Isogeny class |
Conductor |
85701 |
Conductor |
∏ cp |
392 |
Product of Tamagawa factors cp |
deg |
139614720 |
Modular degree for the optimal curve |
Δ |
9.5345929735151E+29 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11- 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6833507245,212290378643291] |
[a1,a2,a3,a4,a6] |
j |
874525202106036353144032879/23627610224570744682543 |
j-invariant |
L |
2.7235235124402 |
L(r)(E,1)/r! |
Ω |
0.027791056909511 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85701k1 |
Quadratic twists by: -7 |