Atkin-Lehner |
3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
40401o |
Isogeny class |
Conductor |
40401 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
538560 |
Modular degree for the optimal curve |
Δ |
-4418258760280467 = -1 · 36 · 677 |
Discriminant |
Eigenvalues |
2 3- 2 2 -4 -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-498279,-135418541] |
[a1,a2,a3,a4,a6] |
Generators |
[90311306361412347453407132:-10833576128903729389802710171:6260688515048677327808] |
Generators of the group modulo torsion |
j |
-207474688/67 |
j-invariant |
L |
13.570281116152 |
L(r)(E,1)/r! |
Ω |
0.08984481108891 |
Real period |
R |
37.760336272293 |
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 |
4489b1 603f1 |
Quadratic twists by: -3 -67 |