Atkin-Lehner |
2- 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
83496m |
Isogeny class |
Conductor |
83496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
77568 |
Modular degree for the optimal curve |
Δ |
-5892646704 = -1 · 24 · 3 · 73 · 713 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -3 5 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1199,-16008] |
[a1,a2,a3,a4,a6] |
Generators |
[362:1141:8] |
Generators of the group modulo torsion |
j |
-34763966464/1073733 |
j-invariant |
L |
7.4308684742693 |
L(r)(E,1)/r! |
Ω |
0.40489745243672 |
Real period |
R |
4.588117574611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83496v1 |
Quadratic twists by: -7 |