Atkin-Lehner |
3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88305b |
Isogeny class |
Conductor |
88305 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49392000 |
Modular degree for the optimal curve |
Δ |
-8.3254017280905E+26 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7+ 1 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-166632656,1616417999612] |
[a1,a2,a3,a4,a6] |
Generators |
[871131063990:125722772345888:34965783] |
Generators of the group modulo torsion |
j |
-860232957686415069184/1399642790416171875 |
j-invariant |
L |
2.4576512870041 |
L(r)(E,1)/r! |
Ω |
0.044940948299272 |
Real period |
R |
13.671558901239 |
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 |
3045h1 |
Quadratic twists by: 29 |