Atkin-Lehner |
2- 3- 7+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
25662w |
Isogeny class |
Conductor |
25662 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-69189933485452416 = -1 · 27 · 3 · 75 · 133 · 474 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -3 13- 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-205965,38121873] |
[a1,a2,a3,a4,a6] |
Generators |
[374:-3853:1] |
Generators of the group modulo torsion |
j |
-966282518387171054161/69189933485452416 |
j-invariant |
L |
10.027345695014 |
L(r)(E,1)/r! |
Ω |
0.3408362275042 |
Real period |
R |
0.3502361351374 |
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 |
76986k1 |
Quadratic twists by: -3 |