Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480bm |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
437260106888478720 = 215 · 312 · 5 · 73 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1200176,-504674880] |
[a1,a2,a3,a4,a6] |
Generators |
[-4902:4329:8] |
Generators of the group modulo torsion |
j |
46676570542430835889/106752955783320 |
j-invariant |
L |
4.0790564768487 |
L(r)(E,1)/r! |
Ω |
0.14426067915188 |
Real period |
R |
7.0688986438125 |
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 |
2310t5 73920hf5 55440dz5 92400hj5 |
Quadratic twists by: -4 8 -3 5 |