Atkin-Lehner |
3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41745t |
Isogeny class |
Conductor |
41745 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
76608 |
Modular degree for the optimal curve |
Δ |
-5870390625 = -1 · 33 · 57 · 112 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 6 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24819,1502851] |
[a1,a2,a3,a4,a6] |
Generators |
[91:-43:1] |
Generators of the group modulo torsion |
j |
-13972239607203889/48515625 |
j-invariant |
L |
7.6605618786755 |
L(r)(E,1)/r! |
Ω |
1.1791800645324 |
Real period |
R |
2.1655052549049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125235bu1 41745w1 |
Quadratic twists by: -3 -11 |