Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950cs |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
11980800 |
Modular degree for the optimal curve |
Δ |
-9.335242028952E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9111576,-18115954202] |
[a1,a2,a3,a4,a6] |
Generators |
[152040220:167604044418:125] |
Generators of the group modulo torsion |
j |
-72814163751025/81252605952 |
j-invariant |
L |
5.997938677241 |
L(r)(E,1)/r! |
Ω |
0.0416321082934 |
Real period |
R |
14.40700200665 |
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 |
124950gw1 17850d1 |
Quadratic twists by: 5 -7 |