Atkin-Lehner |
2- 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33418be |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
27216 |
Modular degree for the optimal curve |
Δ |
-20540574208 = -1 · 29 · 76 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 2 0 7- 11+ 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1618,-26657] |
[a1,a2,a3,a4,a6] |
Generators |
[169:2051:1] |
Generators of the group modulo torsion |
j |
-3981876625/174592 |
j-invariant |
L |
12.573382313623 |
L(r)(E,1)/r! |
Ω |
0.37541484349067 |
Real period |
R |
3.7213298928233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
682a1 |
Quadratic twists by: -7 |