Atkin-Lehner |
2- 3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
15330x |
Isogeny class |
Conductor |
15330 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-8215588190262600 = -1 · 23 · 314 · 52 · 76 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-75025,-9063433] |
[a1,a2,a3,a4,a6] |
j |
-46702710459663123601/8215588190262600 |
j-invariant |
L |
2.5715537498292 |
L(r)(E,1)/r! |
Ω |
0.14286409721273 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122640cs2 45990s2 76650bf2 107310db2 |
Quadratic twists by: -4 -3 5 -7 |