Atkin-Lehner |
2- 3+ 7- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
98406h |
Isogeny class |
Conductor |
98406 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
397440 |
Modular degree for the optimal curve |
Δ |
-778979805069312 = -1 · 215 · 33 · 7 · 116 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1690,-1342987] |
[a1,a2,a3,a4,a6] |
j |
19781579116125/28851103891456 |
j-invariant |
L |
4.6902807412143 |
L(r)(E,1)/r! |
Ω |
0.23451404323255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
98406a2 |
Quadratic twists by: -3 |