Atkin-Lehner |
2+ 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570d |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
375108231536640 = 213 · 34 · 5 · 76 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10703928,-13483622592] |
[a1,a2,a3,a4,a6] |
j |
1152829477932246539641/3188367360 |
j-invariant |
L |
0.6677343864261 |
L(r)(E,1)/r! |
Ω |
0.083466798289572 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
930j2 |
Quadratic twists by: -7 |