Atkin-Lehner |
2+ 3+ 5- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
87450o |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
764750250 = 2 · 32 · 53 · 112 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-58085,5364075] |
[a1,a2,a3,a4,a6] |
Generators |
[139:-64:1] |
Generators of the group modulo torsion |
j |
173387331532594061/6118002 |
j-invariant |
L |
3.0998232388993 |
L(r)(E,1)/r! |
Ω |
1.1779714009899 |
Real period |
R |
0.65787319507351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005812 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87450ct2 |
Quadratic twists by: 5 |