Atkin-Lehner |
3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
26901n |
Isogeny class |
Conductor |
26901 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
36622133667 = 36 · 77 · 61 |
Discriminant |
Eigenvalues |
-1 3- -4 7- 3 4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3317,73770] |
[a1,a2,a3,a4,a6] |
Generators |
[30:9:1] |
Generators of the group modulo torsion |
j |
47045881/427 |
j-invariant |
L |
2.781710030035 |
L(r)(E,1)/r! |
Ω |
1.1623953902606 |
Real period |
R |
1.1965420946014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2989a1 3843j1 |
Quadratic twists by: -3 -7 |