Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7650be |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2318400 |
Modular degree for the optimal curve |
Δ |
-1.4933970114599E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-79155117,328719189541] |
[a1,a2,a3,a4,a6] |
Generators |
[-229321795:58161569843:79507] |
Generators of the group modulo torsion |
j |
-192607474931043120625/52443022624653312 |
j-invariant |
L |
2.5240848610572 |
L(r)(E,1)/r! |
Ω |
0.066587336225902 |
Real period |
R |
9.4765949657982 |
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 |
61200gv1 2550z1 7650ce1 |
Quadratic twists by: -4 -3 5 |