Atkin-Lehner |
2- 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
98568o |
Isogeny class |
Conductor |
98568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1313280 |
Modular degree for the optimal curve |
Δ |
-3826778393822902272 = -1 · 211 · 39 · 377 |
Discriminant |
Eigenvalues |
2- 3+ 2 1 -5 -3 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,258741,79322598] |
[a1,a2,a3,a4,a6] |
j |
18522/37 |
j-invariant |
L |
1.3721758223336 |
L(r)(E,1)/r! |
Ω |
0.17152197125507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98568c1 2664a1 |
Quadratic twists by: -3 37 |