Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
12450w |
Isogeny class |
Conductor |
12450 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
234985881600000000 = 228 · 33 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-165713,11397417] |
[a1,a2,a3,a4,a6] |
Generators |
[-278:6139:1] |
Generators of the group modulo torsion |
j |
32208729120020809/15039096422400 |
j-invariant |
L |
8.1522127948699 |
L(r)(E,1)/r! |
Ω |
0.28004627974099 |
Real period |
R |
0.34655040734568 |
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 |
99600bv1 37350r1 2490c1 |
Quadratic twists by: -4 -3 5 |