Atkin-Lehner |
2- 3+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
122034f |
Isogeny class |
Conductor |
122034 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1615436969898048 = 26 · 3 · 113 · 436 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11+ -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-148883,21964625] |
[a1,a2,a3,a4,a6] |
Generators |
[113:2512:1] |
Generators of the group modulo torsion |
j |
57736239625/255552 |
j-invariant |
L |
7.0087126998354 |
L(r)(E,1)/r! |
Ω |
0.47686918346635 |
Real period |
R |
4.8991163201612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998600737 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66a3 |
Quadratic twists by: -43 |