Atkin-Lehner |
5+ 37+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
61975a |
Isogeny class |
Conductor |
61975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
1622001953125 = 510 · 37 · 672 |
Discriminant |
Eigenvalues |
-2 -3 5+ 3 1 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-26575,-1666344] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:33:1] |
Generators of the group modulo torsion |
j |
132838360141824/103808125 |
j-invariant |
L |
2.1111950739876 |
L(r)(E,1)/r! |
Ω |
0.37393972949686 |
Real period |
R |
1.4114541109344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12395a1 |
Quadratic twists by: 5 |