Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600s |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-3363432789843000000 = -1 · 26 · 35 · 56 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,256842,72547812] |
[a1,a2,a3,a4,a6] |
Generators |
[467:17150:1] [608:21286:1] |
Generators of the group modulo torsion |
j |
15926924096/28588707 |
j-invariant |
L |
10.442703662134 |
L(r)(E,1)/r! |
Ω |
0.172342930847 |
Real period |
R |
15.148146219208 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999969979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600gx1 4704bg1 16800v1 |
Quadratic twists by: -4 5 -7 |