Atkin-Lehner |
3+ 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18315h |
Isogeny class |
Conductor |
18315 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
157696 |
Modular degree for the optimal curve |
Δ |
-714177685546875 = -1 · 33 · 511 · 114 · 37 |
Discriminant |
Eigenvalues |
-2 3+ 5- -4 11- -5 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-14127,1439052] |
[a1,a2,a3,a4,a6] |
Generators |
[-153:137:1] [2683152842:36929627257:41421736] |
Generators of the group modulo torsion |
j |
-11548079990304768/26451025390625 |
j-invariant |
L |
3.7714306632229 |
L(r)(E,1)/r! |
Ω |
0.45034935733691 |
Real period |
R |
0.095164267316705 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18315c1 91575k1 |
Quadratic twists by: -3 5 |