Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26950c |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
3836475065500000 = 25 · 56 · 78 · 113 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 11+ -5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6955575,-7063596875] |
[a1,a2,a3,a4,a6] |
Generators |
[-2698321175:1305060375:1771561] |
Generators of the group modulo torsion |
j |
413160293352625/42592 |
j-invariant |
L |
2.2397738765536 |
L(r)(E,1)/r! |
Ω |
0.092964318466173 |
Real period |
R |
12.046416913004 |
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 |
1078g2 26950j2 |
Quadratic twists by: 5 -7 |