Atkin-Lehner |
3+ 5- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
98475m |
Isogeny class |
Conductor |
98475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
5408739375 = 3 · 54 · 134 · 101 |
Discriminant |
Eigenvalues |
-1 3+ 5- -5 -2 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-988,11006] |
[a1,a2,a3,a4,a6] |
Generators |
[30:82:1] [-20:162:1] |
Generators of the group modulo torsion |
j |
170664031825/8653983 |
j-invariant |
L |
4.7258187545801 |
L(r)(E,1)/r! |
Ω |
1.339211169016 |
Real period |
R |
0.29406731268263 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990159 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98475o1 |
Quadratic twists by: 5 |