Atkin-Lehner |
2- 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7812a |
Isogeny class |
Conductor |
7812 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-14829644592 = -1 · 24 · 39 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 6 -2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1944,-33507] |
[a1,a2,a3,a4,a6] |
j |
-2579890176/47089 |
j-invariant |
L |
2.8728653372707 |
L(r)(E,1)/r! |
Ω |
0.35910816715883 |
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 |
31248bd1 124992f1 7812b1 54684h1 |
Quadratic twists by: -4 8 -3 -7 |