Atkin-Lehner |
2- 3- 7+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
29526s |
Isogeny class |
Conductor |
29526 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
13026387960004608 = 220 · 33 · 72 · 193 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5284248,4675000896] |
[a1,a2,a3,a4,a6] |
Generators |
[432:49512:1] |
Generators of the group modulo torsion |
j |
16318239104166411650442625/13026387960004608 |
j-invariant |
L |
9.8550946602605 |
L(r)(E,1)/r! |
Ω |
0.33199253853407 |
Real period |
R |
0.49474478672404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88578f1 |
Quadratic twists by: -3 |