Atkin-Lehner |
2- 3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010by |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3107328 |
Modular degree for the optimal curve |
Δ |
-2383007812500000000 = -1 · 28 · 3 · 517 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,322209,-23540091] |
[a1,a2,a3,a4,a6] |
j |
75498886940328500159/48632812500000000 |
j-invariant |
L |
1.1827217938357 |
L(r)(E,1)/r! |
Ω |
0.14784031430714 |
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 |
122010dh1 |
Quadratic twists by: -7 |