Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690bm |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-440329474252800 = -1 · 213 · 38 · 52 · 11 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11+ 2 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5252,1021479] |
[a1,a2,a3,a4,a6] |
Generators |
[317:-5739:1] |
Generators of the group modulo torsion |
j |
-21973174804729/604018483200 |
j-invariant |
L |
10.012222639512 |
L(r)(E,1)/r! |
Ω |
0.44229825814547 |
Real period |
R |
0.14510777099813 |
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 |
10230e1 |
Quadratic twists by: -3 |