Atkin-Lehner |
2+ 3+ 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
100650d |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1919232 |
Modular degree for the optimal curve |
Δ |
-4132415232000000000 = -1 · 217 · 37 · 59 · 112 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 11+ 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-243250,108056500] |
[a1,a2,a3,a4,a6] |
j |
-101874390302149921/264474574848000 |
j-invariant |
L |
1.7436693467434 |
L(r)(E,1)/r! |
Ω |
0.21795864677649 |
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 |
20130r1 |
Quadratic twists by: 5 |