Atkin-Lehner |
2+ 3+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31122f |
Isogeny class |
Conductor |
31122 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
12387614148 = 22 · 39 · 72 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1932,32732] |
[a1,a2,a3,a4,a6] |
Generators |
[1:175:1] |
Generators of the group modulo torsion |
j |
40530337875/629356 |
j-invariant |
L |
3.8595623368532 |
L(r)(E,1)/r! |
Ω |
1.2688728296666 |
Real period |
R |
0.76043127542326 |
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 |
31122u1 |
Quadratic twists by: -3 |