Atkin-Lehner |
5+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
62315b |
Isogeny class |
Conductor |
62315 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1729728 |
Modular degree for the optimal curve |
Δ |
-5.3744167498439E+20 |
Discriminant |
Eigenvalues |
-1 1 5+ -1 11- -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1302744,957464861] |
[a1,a2,a3,a4,a6] |
Generators |
[-341:21933:1] [223:35372:1] |
Generators of the group modulo torsion |
j |
9427012535831/20720703125 |
j-invariant |
L |
6.8760840683019 |
L(r)(E,1)/r! |
Ω |
0.11417184931187 |
Real period |
R |
30.112869808739 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62315a1 |
Quadratic twists by: -11 |