Atkin-Lehner |
3+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
26901g |
Isogeny class |
Conductor |
26901 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-193767903 = -1 · 33 · 76 · 61 |
Discriminant |
Eigenvalues |
1 3+ 0 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,138,-281] |
[a1,a2,a3,a4,a6] |
Generators |
[7366:219757:8] |
Generators of the group modulo torsion |
j |
91125/61 |
j-invariant |
L |
5.8231570285663 |
L(r)(E,1)/r! |
Ω |
1.0177119151829 |
Real period |
R |
5.7218127661596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26901h1 549a1 |
Quadratic twists by: -3 -7 |