Atkin-Lehner |
3- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475ce |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-1453581907311166875 = -1 · 37 · 54 · 1110 · 41 |
Discriminant |
Eigenvalues |
-2 3- 5- 2 11+ -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,274425,17408056] |
[a1,a2,a3,a4,a6] |
Generators |
[1814:80525:1] |
Generators of the group modulo torsion |
j |
5016342546329600/3190303225923 |
j-invariant |
L |
3.3300896328339 |
L(r)(E,1)/r! |
Ω |
0.16745239488157 |
Real period |
R |
1.6572320150272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999860221 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33825n1 101475bh2 |
Quadratic twists by: -3 5 |