Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32634q |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7902720 |
Modular degree for the optimal curve |
Δ |
-1.0201545508964E+25 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 1 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-61542882,-241122176492] |
[a1,a2,a3,a4,a6] |
Generators |
[500110214213189001580616102438996204399849211893940527017:-39661688814571861772393724726870735103067386313098930161500:39663718596258823053122798021760814488826338264612599] |
Generators of the group modulo torsion |
j |
-125184130653528625/49540232769408 |
j-invariant |
L |
4.7268489809821 |
L(r)(E,1)/r! |
Ω |
0.02643425489308 |
Real period |
R |
89.407645498257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10878ba1 32634h1 |
Quadratic twists by: -3 -7 |