Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6498k |
Isogeny class |
Conductor |
6498 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1462173399623677122 = -1 · 2 · 316 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 -4 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-277857,-80941113] |
[a1,a2,a3,a4,a6] |
Generators |
[1515033:15538914:2197] |
Generators of the group modulo torsion |
j |
-69173457625/42633378 |
j-invariant |
L |
3.3225948701027 |
L(r)(E,1)/r! |
Ω |
0.10113758958056 |
Real period |
R |
8.2130563025139 |
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 |
51984cn2 2166i2 342b2 |
Quadratic twists by: -4 -3 -19 |