Atkin-Lehner |
3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98553n |
Isogeny class |
Conductor |
98553 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
91609056 |
Modular degree for the optimal curve |
Δ |
-6.0365186777881E+27 |
Discriminant |
Eigenvalues |
1 3+ 1 7- 5 13- 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5296479337,-148413463010882] |
[a1,a2,a3,a4,a6] |
j |
-45517495433750736788559001281841/16721658387224695525976901 |
j-invariant |
L |
3.34468332476 |
L(r)(E,1)/r! |
Ω |
0.0088483678255215 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98553y1 |
Quadratic twists by: -19 |