Atkin-Lehner |
2+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79040be |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
-4120228736000 = -1 · 210 · 53 · 13 · 195 |
Discriminant |
Eigenvalues |
2+ 3 5- -3 6 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3488,-57016] |
[a1,a2,a3,a4,a6] |
Generators |
[1866:19360:27] |
Generators of the group modulo torsion |
j |
4583035109376/4023660875 |
j-invariant |
L |
13.163635862271 |
L(r)(E,1)/r! |
Ω |
0.42934578175715 |
Real period |
R |
5.109958925577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003326 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79040ch1 4940c1 |
Quadratic twists by: -4 8 |