Atkin-Lehner |
2+ 3+ 11- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31746j |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
116285598 = 2 · 33 · 112 · 13 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11- 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3735,86319] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:237:1] |
Generators of the group modulo torsion |
j |
5764706497797625/116285598 |
j-invariant |
L |
2.8036971514575 |
L(r)(E,1)/r! |
Ω |
1.7221483002231 |
Real period |
R |
1.6280230634576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95238cg2 |
Quadratic twists by: -3 |