Atkin-Lehner |
3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345p |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-13335799651470135 = -1 · 33 · 5 · 72 · 1710 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,11988,-5528061] |
[a1,a2,a3,a4,a6] |
Generators |
[28745686450:821263054711:34328125] |
Generators of the group modulo torsion |
j |
7892485271/552491415 |
j-invariant |
L |
6.6202033879019 |
L(r)(E,1)/r! |
Ω |
0.1896607641899 |
Real period |
R |
17.452748901911 |
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 |
91035w1 1785i1 |
Quadratic twists by: -3 17 |