Atkin-Lehner |
2- 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570bo |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
17311310008372800 = 26 · 32 · 52 · 79 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-260779471,1620798774293] |
[a1,a2,a3,a4,a6] |
Generators |
[9421:11704:1] |
Generators of the group modulo torsion |
j |
16670770476780954911217121/147143707200 |
j-invariant |
L |
6.4758907703543 |
L(r)(E,1)/r! |
Ω |
0.1934967105909 |
Real period |
R |
2.7889753916127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510bd3 |
Quadratic twists by: -7 |