Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200ce |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
3742848000 = 210 · 34 · 53 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 4 -6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-413,-1203] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:36:1] |
Generators of the group modulo torsion |
j |
61011968/29241 |
j-invariant |
L |
5.5482718349357 |
L(r)(E,1)/r! |
Ω |
1.1103525412705 |
Real period |
R |
1.2492140173175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000106 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200iu1 11400p1 91200es1 |
Quadratic twists by: -4 8 5 |