Atkin-Lehner |
3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12915p |
Isogeny class |
Conductor |
12915 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
80420090625 = 37 · 55 · 7 · 412 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -4 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12182,520364] |
[a1,a2,a3,a4,a6] |
Generators |
[22:501:1] |
Generators of the group modulo torsion |
j |
274232262365209/110315625 |
j-invariant |
L |
2.5266193293876 |
L(r)(E,1)/r! |
Ω |
1.0650829087905 |
Real period |
R |
0.47444556823409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4305f1 64575ba1 90405z1 |
Quadratic twists by: -3 5 -7 |