Atkin-Lehner |
2+ 3+ 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
36498n |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
35042766857493318 = 2 · 316 · 72 · 113 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-89785,5072599] |
[a1,a2,a3,a4,a6] |
Generators |
[1587:589:27] |
Generators of the group modulo torsion |
j |
80046552276707577625/35042766857493318 |
j-invariant |
L |
3.0941346452415 |
L(r)(E,1)/r! |
Ω |
0.33057903440428 |
Real period |
R |
4.6798712610688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109494cr2 |
Quadratic twists by: -3 |