Atkin-Lehner |
2+ 3+ 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
25254a |
Isogeny class |
Conductor |
25254 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9918513752832 = 28 · 39 · 232 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37653,-2798731] |
[a1,a2,a3,a4,a6] |
Generators |
[266:2307:1] |
Generators of the group modulo torsion |
j |
299942260694019/503912704 |
j-invariant |
L |
3.417327841563 |
L(r)(E,1)/r! |
Ω |
0.3427622162885 |
Real period |
R |
2.4924916452042 |
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 |
25254n2 |
Quadratic twists by: -3 |