Atkin-Lehner |
2+ 3- 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100464o |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
39933234432 = 28 · 32 · 73 · 133 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 3 13- -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1729,-26533] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:39:1] |
Generators of the group modulo torsion |
j |
2234188874752/155989197 |
j-invariant |
L |
7.0456567372582 |
L(r)(E,1)/r! |
Ω |
0.74359320087696 |
Real period |
R |
1.5791915871439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999641827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50232g1 |
Quadratic twists by: -4 |