Atkin-Lehner |
3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98397a |
Isogeny class |
Conductor |
98397 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-472781743083 = -1 · 39 · 134 · 292 |
Discriminant |
Eigenvalues |
0 3+ 0 3 4 13+ 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-23490,-1386106] |
[a1,a2,a3,a4,a6] |
Generators |
[5342352:191539003:4096] |
Generators of the group modulo torsion |
j |
-86593536000/28561 |
j-invariant |
L |
6.6107413464773 |
L(r)(E,1)/r! |
Ω |
0.19281473154441 |
Real period |
R |
8.5713644659119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999888376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98397b1 98397f1 |
Quadratic twists by: -3 29 |