Atkin-Lehner |
2+ 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210o |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2427825798550195200 = 210 · 33 · 52 · 378 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-560739234,-5110667390060] |
[a1,a2,a3,a4,a6] |
j |
281470209323873024547/35046400 |
j-invariant |
L |
2.2337866014343 |
L(r)(E,1)/r! |
Ω |
0.031024823439841 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123210ce2 3330m2 |
Quadratic twists by: -3 37 |