Atkin-Lehner |
2+ 3+ 5+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
40710f |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1087357220010000 = 24 · 310 · 54 · 232 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-46463,-3532683] |
[a1,a2,a3,a4,a6] |
Generators |
[685178:7403765:2197] |
Generators of the group modulo torsion |
j |
11093282171102128249/1087357220010000 |
j-invariant |
L |
4.0552089380415 |
L(r)(E,1)/r! |
Ω |
0.32722826104857 |
Real period |
R |
6.1962999849828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122130bv2 |
Quadratic twists by: -3 |