Atkin-Lehner |
2+ 3+ 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
33390i |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-15338531250000 = -1 · 24 · 33 · 59 · 73 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3801,164493] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:309:1] |
Generators of the group modulo torsion |
j |
224899911787797/568093750000 |
j-invariant |
L |
4.1615341077447 |
L(r)(E,1)/r! |
Ω |
0.48896965951678 |
Real period |
R |
0.70923523009883 |
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 |
33390ba2 |
Quadratic twists by: -3 |