Atkin-Lehner |
3+ 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
74235g |
Isogeny class |
Conductor |
74235 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-6632133325453125 = -1 · 36 · 56 · 78 · 101 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -4 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2278,3918909] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:1761:1] |
Generators of the group modulo torsion |
j |
11104492391/56372203125 |
j-invariant |
L |
5.1451156535906 |
L(r)(E,1)/r! |
Ω |
0.33187923944387 |
Real period |
R |
1.291914608583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001778 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10605f2 |
Quadratic twists by: -7 |