Atkin-Lehner |
3- 5- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
98475s |
Isogeny class |
Conductor |
98475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
20002734375 = 3 · 58 · 132 · 101 |
Discriminant |
Eigenvalues |
1 3- 5- -3 -2 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1326,17173] |
[a1,a2,a3,a4,a6] |
j |
659361145/51207 |
j-invariant |
L |
2.3796741229107 |
L(r)(E,1)/r! |
Ω |
1.1898371292405 |
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 |
98475d1 |
Quadratic twists by: 5 |