Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568bb |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
5677056 |
Modular degree for the optimal curve |
Δ |
-3.5286455681208E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 2 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5496663,-7553186217] |
[a1,a2,a3,a4,a6] |
Generators |
[8922:867051:1] |
Generators of the group modulo torsion |
j |
30289632400448/58194383823 |
j-invariant |
L |
11.291360702306 |
L(r)(E,1)/r! |
Ω |
0.060625726610723 |
Real period |
R |
6.6516791542769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007831 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568h1 50784v1 4416m1 |
Quadratic twists by: -4 8 -23 |