Atkin-Lehner |
2+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
49096d |
Isogeny class |
Conductor |
49096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-13922569839616 = -1 · 210 · 172 · 196 |
Discriminant |
Eigenvalues |
2+ 2 -2 -2 -6 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5656,-75556] |
[a1,a2,a3,a4,a6] |
Generators |
[7754:241995:8] |
Generators of the group modulo torsion |
j |
415292/289 |
j-invariant |
L |
5.4835331269842 |
L(r)(E,1)/r! |
Ω |
0.39838770154995 |
Real period |
R |
6.8821566349178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98192e2 136a2 |
Quadratic twists by: -4 -19 |