Atkin-Lehner |
2+ 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080s |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2437120 |
Modular degree for the optimal curve |
Δ |
-2153826465704755200 = -1 · 214 · 33 · 52 · 417 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 5 -4 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1354992,611182624] |
[a1,a2,a3,a4,a6] |
Generators |
[3634:75645:8] |
Generators of the group modulo torsion |
j |
-621942452665039872/4868856847025 |
j-invariant |
L |
8.7346228121826 |
L(r)(E,1)/r! |
Ω |
0.26186081836334 |
Real period |
R |
1.1912848064356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080dr1 14760l1 118080c1 |
Quadratic twists by: -4 8 -3 |