Atkin-Lehner |
3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38955o |
Isogeny class |
Conductor |
38955 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
167040 |
Modular degree for the optimal curve |
Δ |
-1234373692741875 = -1 · 315 · 54 · 72 · 532 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -4 -1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8535,1714556] |
[a1,a2,a3,a4,a6] |
Generators |
[60:1192:1] [-130:802:1] |
Generators of the group modulo torsion |
j |
-1403424621297664/25191299851875 |
j-invariant |
L |
9.183096053739 |
L(r)(E,1)/r! |
Ω |
0.40895165137134 |
Real period |
R |
0.18712676716478 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116865s1 38955a1 |
Quadratic twists by: -3 -7 |