Atkin-Lehner |
2+ 3+ 5- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
100650m |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-20636395312500 = -1 · 22 · 39 · 58 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11- -4 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12325,-575375] |
[a1,a2,a3,a4,a6] |
j |
-530126504185/52829172 |
j-invariant |
L |
1.3516758738516 |
L(r)(E,1)/r! |
Ω |
0.22527931633196 |
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 |
100650ck1 |
Quadratic twists by: 5 |