Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200n |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-600519168000000 = -1 · 215 · 32 · 56 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2433,1180737] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:1100:1] |
Generators of the group modulo torsion |
j |
-3112136/1172889 |
j-invariant |
L |
4.7306245109374 |
L(r)(E,1)/r! |
Ω |
0.41840407997747 |
Real period |
R |
2.8265884212532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988581 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200dz3 45600bw2 3648l4 |
Quadratic twists by: -4 8 5 |