Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27342l |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
33618167731556352 = 212 · 38 · 79 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 6 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-83799,3080349] |
[a1,a2,a3,a4,a6] |
Generators |
[37:153:1] |
Generators of the group modulo torsion |
j |
2212245127/1142784 |
j-invariant |
L |
3.5368297349222 |
L(r)(E,1)/r! |
Ω |
0.32452294641628 |
Real period |
R |
2.7246376365521 |
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 |
9114z1 27342v1 |
Quadratic twists by: -3 -7 |