Atkin-Lehner |
2+ 3- 7+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
36498t |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-31882473431424 = -1 · 27 · 38 · 7 · 11 · 793 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 11+ -6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1138,-271168] |
[a1,a2,a3,a4,a6] |
Generators |
[60:88:1] |
Generators of the group modulo torsion |
j |
163192041498023/31882473431424 |
j-invariant |
L |
6.0502445714434 |
L(r)(E,1)/r! |
Ω |
0.31018999983899 |
Real period |
R |
0.81270680531598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109494by1 |
Quadratic twists by: -3 |