Atkin-Lehner |
2- 5- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
124630bd |
Isogeny class |
Conductor |
124630 |
Conductor |
∏ cp |
91 |
Product of Tamagawa factors cp |
deg |
297024 |
Modular degree for the optimal curve |
Δ |
7976320000000 = 213 · 57 · 112 · 103 |
Discriminant |
Eigenvalues |
2- -1 5- 1 11- 3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20270,1093995] |
[a1,a2,a3,a4,a6] |
Generators |
[73:63:1] |
Generators of the group modulo torsion |
j |
7612037637576361/65920000000 |
j-invariant |
L |
9.8070475932838 |
L(r)(E,1)/r! |
Ω |
0.74228541118483 |
Real period |
R |
0.14518641048273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999941424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124630l1 |
Quadratic twists by: -11 |