Atkin-Lehner |
2+ 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992i |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
32925892608 = 214 · 33 · 74 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1788,-27760] |
[a1,a2,a3,a4,a6] |
Generators |
[38905:679679:125] |
Generators of the group modulo torsion |
j |
1429033968/74431 |
j-invariant |
L |
10.442215540442 |
L(r)(E,1)/r! |
Ω |
0.73656654523523 |
Real period |
R |
7.0884400134773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969108 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992ef2 15624a2 124992j2 |
Quadratic twists by: -4 8 -3 |