Atkin-Lehner |
3- 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98325x |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2410560000 |
Modular degree for the optimal curve |
Δ |
-5.6325544574065E+33 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 4 5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7590594931950,8049369828253507281] |
[a1,a2,a3,a4,a6] |
j |
-4246230898683241696460167381830762496/494490377604961395263671875 |
j-invariant |
L |
2.0522955314438 |
L(r)(E,1)/r! |
Ω |
0.010470895665329 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32775w1 19665m1 |
Quadratic twists by: -3 5 |