Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
30600bn |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-9180000000000 = -1 · 211 · 33 · 510 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16875,-856250] |
[a1,a2,a3,a4,a6] |
Generators |
[28780598:1494528177:10648] |
Generators of the group modulo torsion |
j |
-984150/17 |
j-invariant |
L |
5.6751420271811 |
L(r)(E,1)/r! |
Ω |
0.20922488667119 |
Real period |
R |
13.562301592018 |
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 |
61200h1 30600b1 30600i1 |
Quadratic twists by: -4 -3 5 |