Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
25284a |
Isogeny class |
Conductor |
25284 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-1952581061870998272 = -1 · 28 · 32 · 78 · 435 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -1 3 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-253493,-83180607] |
[a1,a2,a3,a4,a6] |
Generators |
[294152:159535131:1] |
Generators of the group modulo torsion |
j |
-59812937728000/64830723363 |
j-invariant |
L |
4.1208643184286 |
L(r)(E,1)/r! |
Ω |
0.10202457173572 |
Real period |
R |
10.097725107593 |
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 |
101136ct1 75852b1 3612g1 |
Quadratic twists by: -4 -3 -7 |