Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800fz |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.7534282066397E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2338280408,-44506649036688] |
[a1,a2,a3,a4,a6] |
Generators |
[5721974185495200974656408910594798152462:-369500504029754315229618366306121251203150:98879079124027794947687201390481631] |
Generators of the group modulo torsion |
j |
-187778242790732059201/4984939585440150 |
j-invariant |
L |
5.4433130464604 |
L(r)(E,1)/r! |
Ω |
0.010838395606056 |
Real period |
R |
62.778122844675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7350bc8 11760ch8 8400cc8 |
Quadratic twists by: -4 5 -7 |