Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984t |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-5198086253018736 = -1 · 24 · 39 · 7 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11- 3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-257367,-50374357] |
[a1,a2,a3,a4,a6] |
Generators |
[5159:368687:1] |
Generators of the group modulo torsion |
j |
-91238612224/251559 |
j-invariant |
L |
6.8848847610235 |
L(r)(E,1)/r! |
Ω |
0.10596431231261 |
Real period |
R |
4.0608511315492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968by1 20328o1 5544v1 |
Quadratic twists by: -4 -3 -11 |