Atkin-Lehner |
2+ 3+ 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
98490g |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1854720 |
Modular degree for the optimal curve |
Δ |
-287436220560562500 = -1 · 22 · 35 · 56 · 710 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-236548,-51345692] |
[a1,a2,a3,a4,a6] |
Generators |
[1386:47116:1] |
Generators of the group modulo torsion |
j |
-5182078911961/1017562500 |
j-invariant |
L |
3.0320908207315 |
L(r)(E,1)/r! |
Ω |
0.1071053493612 |
Real period |
R |
7.0773561567176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019314 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98490x1 |
Quadratic twists by: -7 |