Atkin-Lehner |
2- 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800bv |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
855244800000000000 = 226 · 32 · 511 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-704008,-222729488] |
[a1,a2,a3,a4,a6] |
j |
602944222256641/13363200000 |
j-invariant |
L |
1.3203251370582 |
L(r)(E,1)/r! |
Ω |
0.16504064213164 |
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 |
4350l1 104400fe1 6960bk1 |
Quadratic twists by: -4 -3 5 |