Atkin-Lehner |
2- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
24700c |
Isogeny class |
Conductor |
24700 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-3914217299200 = -1 · 28 · 52 · 13 · 196 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 -3 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2332,-85528] |
[a1,a2,a3,a4,a6] |
Generators |
[46:342:1] |
Generators of the group modulo torsion |
j |
219049935920/611596453 |
j-invariant |
L |
7.5445834055223 |
L(r)(E,1)/r! |
Ω |
0.40268987000133 |
Real period |
R |
1.0408593653663 |
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 |
98800bl2 24700r2 |
Quadratic twists by: -4 5 |