Atkin-Lehner |
2- 3+ 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
98490bd |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-640728576552960 = -1 · 212 · 34 · 5 · 78 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,7349,-1190407] |
[a1,a2,a3,a4,a6] |
Generators |
[209:-3192:1] |
Generators of the group modulo torsion |
j |
373092501599/5446103040 |
j-invariant |
L |
6.0011856262865 |
L(r)(E,1)/r! |
Ω |
0.25072081655786 |
Real period |
R |
0.99732205665142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027213 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070l1 |
Quadratic twists by: -7 |