Atkin-Lehner |
3- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
108225v |
Isogeny class |
Conductor |
108225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
1780639453125 = 36 · 58 · 132 · 37 |
Discriminant |
Eigenvalues |
-2 3- 5+ 1 3 13- -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3675,-56844] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:162:1] |
Generators of the group modulo torsion |
j |
481890304/156325 |
j-invariant |
L |
2.9041826473392 |
L(r)(E,1)/r! |
Ω |
0.62899481526915 |
Real period |
R |
1.1542951303655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000131458 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12025d1 21645p1 |
Quadratic twists by: -3 5 |