Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
61152l |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
108534624674112 = 26 · 38 · 76 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -2 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-142214,20683860] |
[a1,a2,a3,a4,a6] |
Generators |
[166:1274:1] |
Generators of the group modulo torsion |
j |
42246001231552/14414517 |
j-invariant |
L |
3.3477588074302 |
L(r)(E,1)/r! |
Ω |
0.58264350303357 |
Real period |
R |
0.95763498318521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000141 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61152cd1 122304de2 1248c1 |
Quadratic twists by: -4 8 -7 |