Atkin-Lehner |
5- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
97405h |
Isogeny class |
Conductor |
97405 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-192601511401915 = -1 · 5 · 712 · 112 · 23 |
Discriminant |
Eigenvalues |
0 -2 5- 7+ 11- 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-23415,1524441] |
[a1,a2,a3,a4,a6] |
Generators |
[23838:-117757:216] [133:883:1] |
Generators of the group modulo torsion |
j |
-11733818757185536/1591748028115 |
j-invariant |
L |
7.1966929924464 |
L(r)(E,1)/r! |
Ω |
0.54859724370149 |
Real period |
R |
6.5591771340542 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97405k2 |
Quadratic twists by: -11 |