Atkin-Lehner |
2+ 3+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
51240a |
Isogeny class |
Conductor |
51240 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1731840 |
Modular degree for the optimal curve |
Δ |
865014677632062720 = 28 · 311 · 5 · 75 · 613 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 3 7 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4742521,-3973395395] |
[a1,a2,a3,a4,a6] |
j |
46079910435182444514304/3378963584500245 |
j-invariant |
L |
2.0461107527757 |
L(r)(E,1)/r! |
Ω |
0.10230553768917 |
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 |
102480k1 |
Quadratic twists by: -4 |