Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
25800h |
Isogeny class |
Conductor |
25800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-20566766700000000 = -1 · 28 · 314 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -5 3 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3292,-6900588] |
[a1,a2,a3,a4,a6] |
Generators |
[293:4374:1] |
Generators of the group modulo torsion |
j |
39443120/205667667 |
j-invariant |
L |
4.7139278995609 |
L(r)(E,1)/r! |
Ω |
0.17765732045238 |
Real period |
R |
2.2111519185538 |
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 |
51600be1 77400bx1 25800be1 |
Quadratic twists by: -4 -3 5 |