Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3630d |
Isogeny class |
Conductor |
3630 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1139190980775210000 = 24 · 312 · 54 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1295307,564555501] |
[a1,a2,a3,a4,a6] |
Generators |
[17:23284:1] |
Generators of the group modulo torsion |
j |
135670761487282321/643043610000 |
j-invariant |
L |
2.3162073231575 |
L(r)(E,1)/r! |
Ω |
0.27612060320318 |
Real period |
R |
2.0970975148974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29040dh3 116160cw3 10890bo3 18150cp4 |
Quadratic twists by: -4 8 -3 5 |