Atkin-Lehner |
3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
10575j |
Isogeny class |
Conductor |
10575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
392108917236328125 = 37 · 518 · 47 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-242442,34752091] |
[a1,a2,a3,a4,a6] |
Generators |
[1222:8389:8] |
Generators of the group modulo torsion |
j |
138356873478361/34423828125 |
j-invariant |
L |
4.983887465664 |
L(r)(E,1)/r! |
Ω |
0.28153572915533 |
Real period |
R |
4.425626083603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3525b3 2115e3 |
Quadratic twists by: -3 5 |