Atkin-Lehner |
2- 3+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98022s |
Isogeny class |
Conductor |
98022 |
Conductor |
∏ cp |
624 |
Product of Tamagawa factors cp |
deg |
76677120 |
Modular degree for the optimal curve |
Δ |
-5.9515288885987E+25 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 0 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-209508591,1224721986741] |
[a1,a2,a3,a4,a6] |
j |
-1145932555163668707889/67059202299789312 |
j-invariant |
L |
9.6111046214891 |
L(r)(E,1)/r! |
Ω |
0.061609645807609 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3162a1 |
Quadratic twists by: -31 |