Atkin-Lehner |
3+ 5+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
98475j |
Isogeny class |
Conductor |
98475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23616 |
Modular degree for the optimal curve |
Δ |
-23929425 = -1 · 36 · 52 · 13 · 101 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 -4 13- 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2,236] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:15:1] [16:60:1] |
Generators of the group modulo torsion |
j |
34295/957177 |
j-invariant |
L |
6.7787259452211 |
L(r)(E,1)/r! |
Ω |
1.6839179297833 |
Real period |
R |
2.0127839443965 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98475p1 |
Quadratic twists by: 5 |