Atkin-Lehner |
2+ 3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98394f |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-107757960192 = -1 · 210 · 32 · 233 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -6 -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22815,-1336059] |
[a1,a2,a3,a4,a6] |
Generators |
[270:3369:1] |
Generators of the group modulo torsion |
j |
-107952167333375/8856576 |
j-invariant |
L |
2.7947822745223 |
L(r)(E,1)/r! |
Ω |
0.19422709942261 |
Real period |
R |
3.5973125183523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998922901 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98394e1 |
Quadratic twists by: -23 |