Atkin-Lehner |
2+ 5- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
34040d |
Isogeny class |
Conductor |
34040 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-6662649200 = -1 · 24 · 52 · 233 · 372 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 -6 3 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,420,-1975] |
[a1,a2,a3,a4,a6] |
Generators |
[88:851:1] |
Generators of the group modulo torsion |
j |
510877946624/416415575 |
j-invariant |
L |
6.2650319283913 |
L(r)(E,1)/r! |
Ω |
0.73892045370174 |
Real period |
R |
0.35327618244772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68080f1 |
Quadratic twists by: -4 |