Atkin-Lehner |
2+ 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7440c |
Isogeny class |
Conductor |
7440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
19927296000 = 211 · 34 · 53 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -6 -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5240,147600] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:62:1] [-40:540:1] |
Generators of the group modulo torsion |
j |
7770885300722/9730125 |
j-invariant |
L |
4.5401596860406 |
L(r)(E,1)/r! |
Ω |
1.2137342804763 |
Real period |
R |
0.31172114571475 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3720e2 29760ci2 22320f2 37200t2 |
Quadratic twists by: -4 8 -3 5 |