Atkin-Lehner |
2- 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
36850x |
Isogeny class |
Conductor |
36850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31200 |
Modular degree for the optimal curve |
Δ |
-348347656250 = -1 · 2 · 59 · 113 · 67 |
Discriminant |
Eigenvalues |
2- -1 5- 0 11+ 1 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1362,-20219] |
[a1,a2,a3,a4,a6] |
Generators |
[54160:44997:4096] |
Generators of the group modulo torsion |
j |
143055667/178354 |
j-invariant |
L |
7.0947758379707 |
L(r)(E,1)/r! |
Ω |
0.51335034697641 |
Real period |
R |
6.9102669159154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36850m1 |
Quadratic twists by: 5 |