Atkin-Lehner |
5- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51205r |
Isogeny class |
Conductor |
51205 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
2180640 |
Modular degree for the optimal curve |
Δ |
35269939672233805 = 5 · 72 · 115 · 197 |
Discriminant |
Eigenvalues |
0 -3 5- 7- 11- 4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5447512,4893782535] |
[a1,a2,a3,a4,a6] |
j |
364856610214409586868224/719794687188445 |
j-invariant |
L |
1.576232632565 |
L(r)(E,1)/r! |
Ω |
0.31524652627386 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51205b1 |
Quadratic twists by: -7 |