Atkin-Lehner |
3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345bh |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
6072670197405 = 36 · 5 · 78 · 172 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ -3 4 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10500,393311] |
[a1,a2,a3,a4,a6] |
Generators |
[-486:7199:8] |
Generators of the group modulo torsion |
j |
443032031678464/21012699645 |
j-invariant |
L |
13.685559752867 |
L(r)(E,1)/r! |
Ω |
0.74679175549303 |
Real period |
R |
1.5271503794067 |
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 |
91035q1 30345h1 |
Quadratic twists by: -3 17 |