Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25578bd |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-736953336 = -1 · 23 · 33 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 0 -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7139,-230373] |
[a1,a2,a3,a4,a6] |
Generators |
[101:216:1] |
Generators of the group modulo torsion |
j |
-12665630691/232 |
j-invariant |
L |
6.2266144914714 |
L(r)(E,1)/r! |
Ω |
0.25969553871555 |
Real period |
R |
3.9960989974825 |
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 |
25578g2 522h1 |
Quadratic twists by: -3 -7 |