Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400bv |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-11767111801200 = -1 · 24 · 36 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,572,-164767] |
[a1,a2,a3,a4,a6] |
Generators |
[212:3087:1] |
Generators of the group modulo torsion |
j |
1280/729 |
j-invariant |
L |
6.2888075011268 |
L(r)(E,1)/r! |
Ω |
0.33430936570402 |
Real period |
R |
0.78380587791332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800bi1 88200hg1 29400dn1 29400t1 |
Quadratic twists by: -4 -3 5 -7 |