Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35322f |
Isogeny class |
Conductor |
35322 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-6177042707242428 = -1 · 22 · 32 · 73 · 298 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -4 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,37828,-2490180] |
[a1,a2,a3,a4,a6] |
Generators |
[89:1217:1] |
Generators of the group modulo torsion |
j |
10063705679/10384668 |
j-invariant |
L |
1.4470189193799 |
L(r)(E,1)/r! |
Ω |
0.23024679682936 |
Real period |
R |
1.5711607493625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105966cb1 1218j1 |
Quadratic twists by: -3 29 |