Atkin-Lehner |
2- 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
35376ba |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-37853857906826544 = -1 · 24 · 36 · 115 · 674 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,13283,9346670] |
[a1,a2,a3,a4,a6] |
j |
16197931255857152/2365866119176659 |
j-invariant |
L |
4.2132946908815 |
L(r)(E,1)/r! |
Ω |
0.28088631272555 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8844b1 106128bb1 |
Quadratic twists by: -4 -3 |