Atkin-Lehner |
2+ 3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98394h |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
64880640 |
Modular degree for the optimal curve |
Δ |
-5.0754554278649E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 0 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6808077394,216211702498612] |
[a1,a2,a3,a4,a6] |
Generators |
[25221:7768715:1] |
Generators of the group modulo torsion |
j |
-235738300667365635295923577/34285303801329408 |
j-invariant |
L |
5.2862496722524 |
L(r)(E,1)/r! |
Ω |
0.059917839579329 |
Real period |
R |
3.6760404681949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977342 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4278b1 |
Quadratic twists by: -23 |