Atkin-Lehner |
2+ 3- 7- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
79254q |
Isogeny class |
Conductor |
79254 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-8905657052823552 = -1 · 221 · 39 · 73 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -3 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2373957,-1407267243] |
[a1,a2,a3,a4,a6] |
Generators |
[196692:9024279:64] |
Generators of the group modulo torsion |
j |
-2029620455989878732625/12216264818688 |
j-invariant |
L |
3.6337277943005 |
L(r)(E,1)/r! |
Ω |
0.060813665577615 |
Real period |
R |
9.9586382978169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999707 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26418r1 |
Quadratic twists by: -3 |