Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27342f |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-20674438063776 = -1 · 25 · 311 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 3 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6606,70132] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:1777:8] |
Generators of the group modulo torsion |
j |
371694959/241056 |
j-invariant |
L |
4.7652302378818 |
L(r)(E,1)/r! |
Ω |
0.4261572091759 |
Real period |
R |
2.7954649923069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9114r1 558d1 |
Quadratic twists by: -3 -7 |