Atkin-Lehner |
2- 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
74958r |
Isogeny class |
Conductor |
74958 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
353696219136 = 220 · 33 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 3 0 -2 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2159,-26827] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:82:1] |
Generators of the group modulo torsion |
j |
1158166032817/368050176 |
j-invariant |
L |
10.125420364757 |
L(r)(E,1)/r! |
Ω |
0.7179452787548 |
Real period |
R |
0.70516658182984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74958x1 |
Quadratic twists by: -31 |