Atkin-Lehner |
3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345r |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-7737975 = -1 · 32 · 52 · 7 · 173 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -2 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,45,-48] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] |
Generators of the group modulo torsion |
j |
2048383/1575 |
j-invariant |
L |
3.2647426554198 |
L(r)(E,1)/r! |
Ω |
1.3060634106995 |
Real period |
R |
1.2498407920605 |
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 |
91035v1 30345u1 |
Quadratic twists by: -3 17 |