Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
74060m |
Isogeny class |
Conductor |
74060 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
712800 |
Modular degree for the optimal curve |
Δ |
-3184690158621440 = -1 · 28 · 5 · 75 · 236 |
Discriminant |
Eigenvalues |
2- 3 5- 7- 5 -3 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16928,-2579404] |
[a1,a2,a3,a4,a6] |
Generators |
[492315:5839631:3375] |
Generators of the group modulo torsion |
j |
14155776/84035 |
j-invariant |
L |
14.060614109738 |
L(r)(E,1)/r! |
Ω |
0.22441215815674 |
Real period |
R |
6.265531343788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000822 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
140b1 |
Quadratic twists by: -23 |