Atkin-Lehner |
2+ 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
49490c |
Isogeny class |
Conductor |
49490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-2608457156480 = -1 · 27 · 5 · 79 · 101 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -4 -4 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,857,-76747] |
[a1,a2,a3,a4,a6] |
Generators |
[41:151:1] |
Generators of the group modulo torsion |
j |
590589719/22171520 |
j-invariant |
L |
1.3947118588667 |
L(r)(E,1)/r! |
Ω |
0.38980409732785 |
Real period |
R |
0.89449538141759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999786 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7070c1 |
Quadratic twists by: -7 |