Atkin-Lehner |
3- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
124425l |
Isogeny class |
Conductor |
124425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1723392 |
Modular degree for the optimal curve |
Δ |
307569122314453125 = 36 · 517 · 7 · 79 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 5 -5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1321050,583813156] |
[a1,a2,a3,a4,a6] |
Generators |
[646:31:1] |
Generators of the group modulo torsion |
j |
22383805528244224/27001953125 |
j-invariant |
L |
5.4646159917627 |
L(r)(E,1)/r! |
Ω |
0.3054378750218 |
Real period |
R |
4.4727720559948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041728 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13825c1 24885h1 |
Quadratic twists by: -3 5 |