Atkin-Lehner |
2+ 3- 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31302h |
Isogeny class |
Conductor |
31302 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
274560 |
Modular degree for the optimal curve |
Δ |
-1839716298399744 = -1 · 213 · 317 · 37 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 4 -2 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-151308,-22709808] |
[a1,a2,a3,a4,a6] |
Generators |
[380434843797:-9617657401235:458314011] |
Generators of the group modulo torsion |
j |
-525513008099696833/2523616321536 |
j-invariant |
L |
4.901951582637 |
L(r)(E,1)/r! |
Ω |
0.12099827988105 |
Real period |
R |
20.25628623587 |
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 |
10434k1 |
Quadratic twists by: -3 |