Atkin-Lehner |
2+ 3- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100464u |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
551346432 = 28 · 3 · 74 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-364,-2548] |
[a1,a2,a3,a4,a6] |
Generators |
[22:24:1] |
Generators of the group modulo torsion |
j |
20892021712/2153697 |
j-invariant |
L |
6.1756687864961 |
L(r)(E,1)/r! |
Ω |
1.1000332522333 |
Real period |
R |
2.8070373162553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016541 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50232a1 |
Quadratic twists by: -4 |