Atkin-Lehner |
2- 3+ 5- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
100650ca |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
438048 |
Modular degree for the optimal curve |
Δ |
-303043783680000 = -1 · 213 · 36 · 54 · 113 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 3 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-25713,-1805169] |
[a1,a2,a3,a4,a6] |
Generators |
[319:-4912:1] |
Generators of the group modulo torsion |
j |
-3008174322760225/484870053888 |
j-invariant |
L |
9.4384514377172 |
L(r)(E,1)/r! |
Ω |
0.18685468474549 |
Real period |
R |
0.64759300852078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017562 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100650y1 |
Quadratic twists by: 5 |