Atkin-Lehner |
2+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
107200ba |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-439091200000000 = -1 · 224 · 58 · 67 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -4 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51500,-4610000] |
[a1,a2,a3,a4,a6] |
j |
-147518145/4288 |
j-invariant |
L |
0.94912893057683 |
L(r)(E,1)/r! |
Ω |
0.15818812593013 |
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 |
107200dg1 3350f1 107200m1 |
Quadratic twists by: -4 8 5 |