Atkin-Lehner |
5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
39325h |
Isogeny class |
Conductor |
39325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
27213529814453125 = 510 · 118 · 13 |
Discriminant |
Eigenvalues |
0 -1 5+ 2 11- 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9932083,-12044511557] |
[a1,a2,a3,a4,a6] |
Generators |
[-7750367324927:-181887793357:4259406061] |
Generators of the group modulo torsion |
j |
6263089561600/1573 |
j-invariant |
L |
3.2735899585764 |
L(r)(E,1)/r! |
Ω |
0.085043176326216 |
Real period |
R |
19.246635062285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39325s1 3575a1 |
Quadratic twists by: 5 -11 |