Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600cg |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3110023987200 = -1 · 221 · 33 · 52 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53808,4787028] |
[a1,a2,a3,a4,a6] |
Generators |
[114:384:1] |
Generators of the group modulo torsion |
j |
-168256703745625/30371328 |
j-invariant |
L |
4.9660423503989 |
L(r)(E,1)/r! |
Ω |
0.7746543393417 |
Real period |
R |
0.53422131848499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1950o2 62400fe2 46800dl2 15600bx2 |
Quadratic twists by: -4 8 -3 5 |