Atkin-Lehner |
3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345q |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
6.0339594385749E+29 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -2 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4093169430,-93611649792600] |
[a1,a2,a3,a4,a6] |
Generators |
[-34032:-2487672:1] |
Generators of the group modulo torsion |
j |
63953244990201015504593/5088175635498046875 |
j-invariant |
L |
2.9507579982148 |
L(r)(E,1)/r! |
Ω |
0.018970155744122 |
Real period |
R |
4.32076051752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91035u2 30345t2 |
Quadratic twists by: -3 17 |