Atkin-Lehner |
2+ 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992i |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-1301916672 = -1 · 210 · 33 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,72,-1720] |
[a1,a2,a3,a4,a6] |
Generators |
[310:5460:1] |
Generators of the group modulo torsion |
j |
1492992/47089 |
j-invariant |
L |
10.442215540442 |
L(r)(E,1)/r! |
Ω |
0.73656654523523 |
Real period |
R |
3.5442200067386 |
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 |
124992ef1 15624a1 124992j1 |
Quadratic twists by: -4 8 -3 |