Atkin-Lehner |
2+ 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
26350f |
Isogeny class |
Conductor |
26350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15104 |
Modular degree for the optimal curve |
Δ |
1054000 = 24 · 53 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ -3 5- -4 -4 -3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-202,1156] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-7:1] [0:34:1] |
Generators of the group modulo torsion |
j |
7312680621/8432 |
j-invariant |
L |
3.0564302479984 |
L(r)(E,1)/r! |
Ω |
2.7551831261328 |
Real period |
R |
0.27733458250099 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26350u1 |
Quadratic twists by: 5 |