Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25230u |
Isogeny class |
Conductor |
25230 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
6287579914630500 = 22 · 36 · 53 · 297 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-48375,1468617] |
[a1,a2,a3,a4,a6] |
Generators |
[-1434:17533:8] |
Generators of the group modulo torsion |
j |
21047437081/10570500 |
j-invariant |
L |
6.0777463909281 |
L(r)(E,1)/r! |
Ω |
0.37491651611137 |
Real period |
R |
2.7018221078328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75690h1 126150bd1 870c1 |
Quadratic twists by: -3 5 29 |