Atkin-Lehner |
2- 3+ 5- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
42180a |
Isogeny class |
Conductor |
42180 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25056 |
Modular degree for the optimal curve |
Δ |
-11540448000 = -1 · 28 · 33 · 53 · 192 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -2 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-445,6457] |
[a1,a2,a3,a4,a6] |
Generators |
[24:95:1] |
Generators of the group modulo torsion |
j |
-38153936896/45079875 |
j-invariant |
L |
6.4615711987328 |
L(r)(E,1)/r! |
Ω |
1.1534541184022 |
Real period |
R |
0.93365528454199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126540f1 |
Quadratic twists by: -3 |