Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
10050h |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-34732800000000 = -1 · 214 · 34 · 58 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 2 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6675,-187875] |
[a1,a2,a3,a4,a6] |
Generators |
[26:51:1] |
Generators of the group modulo torsion |
j |
84181337735/88915968 |
j-invariant |
L |
2.9910106127347 |
L(r)(E,1)/r! |
Ω |
0.35393249340856 |
Real period |
R |
2.1126985148563 |
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 |
80400dl1 30150cw1 10050bg1 |
Quadratic twists by: -4 -3 5 |