Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30600b |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-6692220000000000 = -1 · 211 · 39 · 510 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151875,23118750] |
[a1,a2,a3,a4,a6] |
Generators |
[-2622:49113:8] |
Generators of the group modulo torsion |
j |
-984150/17 |
j-invariant |
L |
5.1757781906247 |
L(r)(E,1)/r! |
Ω |
0.42215013085926 |
Real period |
R |
6.1302577119777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200b1 30600bn1 30600bu1 |
Quadratic twists by: -4 -3 5 |