Atkin-Lehner |
2+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36518a |
Isogeny class |
Conductor |
36518 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-3116742526965248 = -1 · 29 · 193 · 316 |
Discriminant |
Eigenvalues |
2+ -1 0 -1 6 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,9110,-2661292] |
[a1,a2,a3,a4,a6] |
Generators |
[121:420:1] |
Generators of the group modulo torsion |
j |
94196375/3511808 |
j-invariant |
L |
2.5854510019236 |
L(r)(E,1)/r! |
Ω |
0.21599832169462 |
Real period |
R |
1.994962261465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38a1 |
Quadratic twists by: -31 |