Atkin-Lehner |
2- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
3526b |
Isogeny class |
Conductor |
3526 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
-7221248 = -1 · 212 · 41 · 43 |
Discriminant |
Eigenvalues |
2- 1 0 -1 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-393,2969] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:83:1] |
Generators of the group modulo torsion |
j |
-6713831364625/7221248 |
j-invariant |
L |
5.5238477782106 |
L(r)(E,1)/r! |
Ω |
2.3452201801972 |
Real period |
R |
1.7665231898651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
28208e1 112832d1 31734f1 88150b1 |
Quadratic twists by: -4 8 -3 5 |