Atkin-Lehner |
3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15225r |
Isogeny class |
Conductor |
15225 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
119471465900390625 = 316 · 59 · 72 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-147188,13982367] |
[a1,a2,a3,a4,a6] |
Generators |
[-407:2755:1] |
Generators of the group modulo torsion |
j |
22569455565127801/7646173817625 |
j-invariant |
L |
3.2575629629947 |
L(r)(E,1)/r! |
Ω |
0.30506863414807 |
Real period |
R |
1.3347664256323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45675g1 3045f1 106575w1 |
Quadratic twists by: -3 5 -7 |