Atkin-Lehner |
2+ 3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98394k |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1377792 |
Modular degree for the optimal curve |
Δ |
-111982203000301008 = -1 · 24 · 3 · 238 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 4 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,254,16100356] |
[a1,a2,a3,a4,a6] |
Generators |
[702:32447:8] |
Generators of the group modulo torsion |
j |
23/1429968 |
j-invariant |
L |
4.4397261013243 |
L(r)(E,1)/r! |
Ω |
0.26461221817411 |
Real period |
R |
0.93212418954029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98394i1 |
Quadratic twists by: -23 |