Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74480o |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-745863788902400 = -1 · 211 · 52 · 79 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3773,1310946] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1140:1] |
Generators of the group modulo torsion |
j |
71874/9025 |
j-invariant |
L |
5.1868874343613 |
L(r)(E,1)/r! |
Ω |
0.38899367353943 |
Real period |
R |
1.6667647145248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37240k2 74480i2 |
Quadratic twists by: -4 -7 |