Atkin-Lehner |
2+ 3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98394q |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
141926400 |
Modular degree for the optimal curve |
Δ |
-1.2207702207471E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 4 4 -6 -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19225193,1681333626885] |
[a1,a2,a3,a4,a6] |
Generators |
[5238848538419584460984516240:-1712761183599415666582182685033:49149199293125188096000] |
Generators of the group modulo torsion |
j |
-5308463753738358121/8246447729625120768 |
j-invariant |
L |
5.8249718631425 |
L(r)(E,1)/r! |
Ω |
0.039114665029029 |
Real period |
R |
37.230101993488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999815535 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4278d1 |
Quadratic twists by: -23 |