Atkin-Lehner |
3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3675a |
Isogeny class |
Conductor |
3675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-60800635546875 = -1 · 33 · 58 · 78 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 0 1 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,5717,-338157] |
[a1,a2,a3,a4,a6] |
Generators |
[177:2487:1] |
Generators of the group modulo torsion |
j |
229376/675 |
j-invariant |
L |
2.4416705815004 |
L(r)(E,1)/r! |
Ω |
0.31972714439495 |
Real period |
R |
3.8183661041995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800hp1 11025q1 735d1 3675i1 |
Quadratic twists by: -4 -3 5 -7 |