Atkin-Lehner |
2- 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200ef |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-606000 = -1 · 24 · 3 · 53 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 -5 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93,318] |
[a1,a2,a3,a4,a6] |
Generators |
[2:12:1] |
Generators of the group modulo torsion |
j |
-44957696/303 |
j-invariant |
L |
11.039833373141 |
L(r)(E,1)/r! |
Ω |
2.9109735689919 |
Real period |
R |
1.8962441871124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999592959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30300h1 121200cu1 |
Quadratic twists by: -4 5 |