Atkin-Lehner |
3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30723ba |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
-290562906237219 = -1 · 310 · 72 · 114 · 193 |
Discriminant |
Eigenvalues |
2 3- -1 7- 11+ 0 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-714576,-232738621] |
[a1,a2,a3,a4,a6] |
j |
-823518798157080825856/5929855229331 |
j-invariant |
L |
4.9261594466322 |
L(r)(E,1)/r! |
Ω |
0.082102657443882 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92169bo1 30723a1 |
Quadratic twists by: -3 -7 |