Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810cm |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
440640 |
Modular degree for the optimal curve |
Δ |
-356038579814400000 = -1 · 218 · 36 · 55 · 72 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-197590,44268755] |
[a1,a2,a3,a4,a6] |
Generators |
[2513:122943:1] |
Generators of the group modulo torsion |
j |
-17410957409801706289/7266093465600000 |
j-invariant |
L |
7.7325121045315 |
L(r)(E,1)/r! |
Ω |
0.28367859952261 |
Real period |
R |
0.050477783253095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101430t1 33810ct1 |
Quadratic twists by: -3 -7 |