Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850bn |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-14766248109375000 = -1 · 23 · 39 · 59 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3644667,2679067741] |
[a1,a2,a3,a4,a6] |
Generators |
[989:-6907:1] |
Generators of the group modulo torsion |
j |
-470056203380406889/1296351000 |
j-invariant |
L |
3.1017938387583 |
L(r)(E,1)/r! |
Ω |
0.3427406221282 |
Real period |
R |
0.37708226455111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19950bt2 11970cj2 |
Quadratic twists by: -3 5 |