Atkin-Lehner |
2- 3+ 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
10434h |
Isogeny class |
Conductor |
10434 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
412896 |
Modular degree for the optimal curve |
Δ |
-7152816968178204672 = -1 · 217 · 322 · 37 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 4 -3 4 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,243684,-119955459] |
[a1,a2,a3,a4,a6] |
j |
1600311939232066224191/7152816968178204672 |
j-invariant |
L |
4.0468297395585 |
L(r)(E,1)/r! |
Ω |
0.11902440410466 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83472v1 31302i1 |
Quadratic twists by: -4 -3 |