Atkin-Lehner |
3+ 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
74415b |
Isogeny class |
Conductor |
74415 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
4681488345703125 = 3 · 59 · 117 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 11- 0 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-81231,8307881] |
[a1,a2,a3,a4,a6] |
Generators |
[125:302:1] |
Generators of the group modulo torsion |
j |
33460956135424/2642578125 |
j-invariant |
L |
3.7560985973815 |
L(r)(E,1)/r! |
Ω |
0.42448823918563 |
Real period |
R |
2.212133487999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6765a1 |
Quadratic twists by: -11 |