Atkin-Lehner |
2+ 3+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
23310d |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-223032993750000 = -1 · 24 · 39 · 58 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-157479,24103853] |
[a1,a2,a3,a4,a6] |
Generators |
[217:229:1] |
Generators of the group modulo torsion |
j |
-21943298749909347/11331250000 |
j-invariant |
L |
4.1534632307981 |
L(r)(E,1)/r! |
Ω |
0.55216996388267 |
Real period |
R |
0.47012961389556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23310bd1 116550da1 |
Quadratic twists by: -3 5 |