Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850v |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-11082109322375000 = -1 · 23 · 56 · 79 · 133 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -3 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-236451,44523798] |
[a1,a2,a3,a4,a6] |
Generators |
[522:7701:1] |
Generators of the group modulo torsion |
j |
-795309684625/6028568 |
j-invariant |
L |
4.2411623844164 |
L(r)(E,1)/r! |
Ω |
0.40626340569528 |
Real period |
R |
0.86995332030091 |
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 |
1274i2 4550b2 |
Quadratic twists by: 5 -7 |