Atkin-Lehner |
2- 3+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
98490bc |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1357056 |
Modular degree for the optimal curve |
Δ |
-9348475770594450 = -1 · 2 · 319 · 52 · 74 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-776896,-263932621] |
[a1,a2,a3,a4,a6] |
Generators |
[807759002:44847280695:238328] |
Generators of the group modulo torsion |
j |
-21598333519318804129/3893575914450 |
j-invariant |
L |
6.9568099933116 |
L(r)(E,1)/r! |
Ω |
0.080403348860159 |
Real period |
R |
14.420647231755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017719 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98490bz1 |
Quadratic twists by: -7 |