Atkin-Lehner |
2+ 7- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
98294c |
Isogeny class |
Conductor |
98294 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-8024132396 = -1 · 22 · 76 · 172 · 59 |
Discriminant |
Eigenvalues |
2+ 1 1 7- -2 4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4338,-110400] |
[a1,a2,a3,a4,a6] |
Generators |
[225:3099:1] |
Generators of the group modulo torsion |
j |
-76711450249/68204 |
j-invariant |
L |
6.1484589122165 |
L(r)(E,1)/r! |
Ω |
0.29412775681798 |
Real period |
R |
5.2260104207699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038291 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2006d1 |
Quadratic twists by: -7 |