Atkin-Lehner |
5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
45325m |
Isogeny class |
Conductor |
45325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
68015828125 = 56 · 76 · 37 |
Discriminant |
Eigenvalues |
2 -3 5+ 7- -5 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1225,-10719] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:471:8] |
Generators of the group modulo torsion |
j |
110592/37 |
j-invariant |
L |
5.3878634387887 |
L(r)(E,1)/r! |
Ω |
0.82872086647298 |
Real period |
R |
3.2507106172774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999678 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1813b1 925e1 |
Quadratic twists by: 5 -7 |