Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
103200bv |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-45796032000000 = -1 · 212 · 32 · 56 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 1 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39133,-2984363] |
[a1,a2,a3,a4,a6] |
Generators |
[292:3225:1] |
Generators of the group modulo torsion |
j |
-103558145536/715563 |
j-invariant |
L |
5.4567606199758 |
L(r)(E,1)/r! |
Ω |
0.16964988842297 |
Real period |
R |
1.3402014470135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103200r1 4128c1 |
Quadratic twists by: -4 5 |